Yes. When it was possible, the Mormon trail was on the opposite side of the river from the Oregon and California trails, to avoid any confrontation or argument over use of the trail and supplies (grass, berries, small game) found along the trail.
Oregon Trail
The Mormon Trail and Oregon Trail share the Platte River in Nebraska. Both trails followed the Platte River valley for a portion of their journeys westward.
the N. platte
The Mormon Trail was the route, but it did travel on the Oregon trial too. :)
The Oregon Trail. Santa Fe Trail, Mormon Pioneer Trail, California Trail
Most Mormons followed the Mormon Trail, which was roughly the same as the Oregon trail until the Mormon trail split off to Utah in Wyoming. Some Mormon pioneers took a boat around South America, docked in California, and travelled to Utah through Nevada.
North Platte.
Oregon Trail, Santa Fe Trail, and Mormon Trail
The trails were the Oregon Trail, Santa Fe Trail, Old Spanish Trail, the California Trail, and Mormon Trail.
The Platte River provided a natural guide for most pioneers who made the trek either via the Mormon Trail or the Oregon Trail. Because of persecutions suffered by the Latter-day Saints in both Missouri and Illinois, they tended to stay north of the river, while the Oregon Trail stayed on the south side. However, the trails crossed and merged at various points, and both took advantage of ferries and bridges constructed by both parties. The Latter-day Saints diverged from the basic Oregon Trail at Fort Bridger after consulting with Jim Bridger as to the most viable routes into the Great Basin area of what is now Utah.
They all originate in Indepence, Missouri.