Why is the LCM of co-prime numbers always equal to their product?
Answer (1)
13th Dec, 2022
For any 2 numbers product of their LCM and HCF is equal to product of two given numbers.
I.e L.C.M. × H.C.F. = Product of two given numbers
Since they are coprimes, so their HCF is 1
I.e L.C.M. × (1) = Product of two given numbers
L.C.M. = Product of two given numbers
Therefore the Least Common Multiple (LCM) of two coprimes is always equal to their product.
For example, 8 and 9 are co-prime numbers. Hence, LCM (8, 9) = 72.
NOTE: 1 forms a co-prime number pair with every number.
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