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What is the Least Common Multiple of 5938 and 5956?

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 5938 and 5956 is 17683364.

LCM(5938,5956) = 17683364

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Least Common Multiple of 5938 and 5956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5938 and 5956, than apply into the LCM equation.

GCF(5938,5956) = 2
LCM(5938,5956) = ( 5938 × 5956) / 2
LCM(5938,5956) = 35366728 / 2
LCM(5938,5956) = 17683364

Least Common Multiple (LCM) of 5938 and 5956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5938 and 5956. First we will calculate the prime factors of 5938 and 5956.

Prime Factorization of 5938

Prime factors of 5938 are 2, 2969. Prime factorization of 5938 in exponential form is:

5938 = 21 × 29691

Prime Factorization of 5956

Prime factors of 5956 are 2, 1489. Prime factorization of 5956 in exponential form is:

5956 = 22 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 5938 and 5956.

LCM(5938,5956) = 22 × 29691 × 14891
LCM(5938,5956) = 17683364