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What is the Least Common Multiple of 2924 and 2938?

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 2924 and 2938 is 4295356.

LCM(2924,2938) = 4295356

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Least Common Multiple of 2924 and 2938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2924 and 2938, than apply into the LCM equation.

GCF(2924,2938) = 2
LCM(2924,2938) = ( 2924 × 2938) / 2
LCM(2924,2938) = 8590712 / 2
LCM(2924,2938) = 4295356

Least Common Multiple (LCM) of 2924 and 2938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2924 and 2938. First we will calculate the prime factors of 2924 and 2938.

Prime Factorization of 2924

Prime factors of 2924 are 2, 17, 43. Prime factorization of 2924 in exponential form is:

2924 = 22 × 171 × 431

Prime Factorization of 2938

Prime factors of 2938 are 2, 13, 113. Prime factorization of 2938 in exponential form is:

2938 = 21 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2924 and 2938.

LCM(2924,2938) = 22 × 171 × 431 × 131 × 1131
LCM(2924,2938) = 4295356