Find the LCM of 24b and 36....

Find the LCM of 24b and 36.

Text Solution

Verified by Experts

Resolving 24 and 36 into the product of prime factors.
`24=②xx②xx2xx③xx`
`36=②xx②xx③xx3`
The common prime factors of 24 and 36 are 2,2 and 3 . (which are circled)
The remaining prime factors of 24 is 3. (which is not circled).
The ramaining prime factors of 36 is 3. (which is not circled).
LCM=(The prodct of common factors of 24 and 36 ) x (the prime factors left in 24)x (the prime factors left in 36) `=2xx2xx3xxx2xx3=72`.

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