Their product.
When the numbers have a common factor (other than 1).
If the HCF (Highest Common Factor) of two numbers is 1, then the two numbers are relatively prime and their LCM is the product of the two numbers.
When they have a common prime factor. When their GCF is greater than 1.
When their GCF is greater than 1. When they have a prime factor in common.
When the GCF is greater than 1. When they have a prime factor in common.
Yes. If one number is a factor of the other, the greater number will be the LCM of the two.
The LCM will never be less than the GCF of a set of numbers.
The LCM of two numbers will never be less than the GCF.
If two numbers have no common factor greater then one, then their LCM is the two numbers multiplied together. Example: 9 and 14 have no common factors. Their LCM is 9 x 14, which is 126.
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
If there is no common factor greater than 1, then the lcm of those numbers is the product of those numbers. eg hcf(5, 7) = 1 → lcm(5, 7) = 5 x 7 = 35 eg hcf(4, 9) = 1 → lcm(4, 9) = 4 x 9 = 36
The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number. The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.