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What is the Least Common Multiple of 5942 and 5957?

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 5942 and 5957 is 35396494.

LCM(5942,5957) = 35396494

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Least Common Multiple of 5942 and 5957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5942 and 5957, than apply into the LCM equation.

GCF(5942,5957) = 1
LCM(5942,5957) = ( 5942 × 5957) / 1
LCM(5942,5957) = 35396494 / 1
LCM(5942,5957) = 35396494

Least Common Multiple (LCM) of 5942 and 5957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5942 and 5957. First we will calculate the prime factors of 5942 and 5957.

Prime Factorization of 5942

Prime factors of 5942 are 2, 2971. Prime factorization of 5942 in exponential form is:

5942 = 21 × 29711

Prime Factorization of 5957

Prime factors of 5957 are 7, 23, 37. Prime factorization of 5957 in exponential form is:

5957 = 71 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 5942 and 5957.

LCM(5942,5957) = 21 × 29711 × 71 × 231 × 371
LCM(5942,5957) = 35396494