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First you split both numbers into their prime factors:
6 = 2x3
16 = 2x2x2x2
The next step is to identify the HCF. In this case the HCF is 2. Finally you multiply the numbers together and divide by the HCF:
6x16/2 = 48
And so the LCM of 6 and 16 is 48.
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