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Write 100 and 120 in their prime compositions in power form:
100 = 223052
120 = 233151
For hcf, take lowest power of each prime across the compositions; for LCM, take highest powers:
hcf = 223051 = 4 x 1 x 5 = 20
LCM = 233152 = 8 x 3 x 25 = 600
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