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What is the Least Common Multiple of 29715 and 29724?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 29715 and 29724 is 294416220.

LCM(29715,29724) = 294416220

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Least Common Multiple of 29715 and 29724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29715 and 29724, than apply into the LCM equation.

GCF(29715,29724) = 3
LCM(29715,29724) = ( 29715 × 29724) / 3
LCM(29715,29724) = 883248660 / 3
LCM(29715,29724) = 294416220

Least Common Multiple (LCM) of 29715 and 29724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29715 and 29724. First we will calculate the prime factors of 29715 and 29724.

Prime Factorization of 29715

Prime factors of 29715 are 3, 5, 7, 283. Prime factorization of 29715 in exponential form is:

29715 = 31 × 51 × 71 × 2831

Prime Factorization of 29724

Prime factors of 29724 are 2, 3, 2477. Prime factorization of 29724 in exponential form is:

29724 = 22 × 31 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 29715 and 29724.

LCM(29715,29724) = 31 × 51 × 71 × 2831 × 22 × 24771
LCM(29715,29724) = 294416220