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What is the Least Common Multiple of 32931 and 32937?

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 32931 and 32937 is 361549449.

LCM(32931,32937) = 361549449

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Least Common Multiple of 32931 and 32937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32931 and 32937, than apply into the LCM equation.

GCF(32931,32937) = 3
LCM(32931,32937) = ( 32931 × 32937) / 3
LCM(32931,32937) = 1084648347 / 3
LCM(32931,32937) = 361549449

Least Common Multiple (LCM) of 32931 and 32937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32931 and 32937. First we will calculate the prime factors of 32931 and 32937.

Prime Factorization of 32931

Prime factors of 32931 are 3, 3659. Prime factorization of 32931 in exponential form is:

32931 = 32 × 36591

Prime Factorization of 32937

Prime factors of 32937 are 3, 10979. Prime factorization of 32937 in exponential form is:

32937 = 31 × 109791

Now multiplying the highest exponent prime factors to calculate the LCM of 32931 and 32937.

LCM(32931,32937) = 32 × 36591 × 109791
LCM(32931,32937) = 361549449