Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
Check it.
30 x 42 = 1260
210 x 6 = 1260
It checks.
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The HCF is: 2The LCM is: 2,520
hcf = 42, lcm = 84.
HCF is 48 and LCM is 576
hcf: 1 lcm: 112,038
No. The LCM MUST be a multiple of the HCF.