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What is the Least Common Multiple of 2938 and 2956?

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 2938 and 2956 is 4342364.

LCM(2938,2956) = 4342364

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Least Common Multiple of 2938 and 2956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2938 and 2956, than apply into the LCM equation.

GCF(2938,2956) = 2
LCM(2938,2956) = ( 2938 × 2956) / 2
LCM(2938,2956) = 8684728 / 2
LCM(2938,2956) = 4342364

Least Common Multiple (LCM) of 2938 and 2956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2938 and 2956. First we will calculate the prime factors of 2938 and 2956.

Prime Factorization of 2938

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

2938 = 21 × 131 × 1131

Prime Factorization of 2956

Prime factors of 2956 are 2, 739. Prime factorization of 2956 in exponential form is:

2956 = 22 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 2938 and 2956.

LCM(2938,2956) = 22 × 131 × 1131 × 7391
LCM(2938,2956) = 4342364