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What is the Least Common Multiple of 61931 and 61937?

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 61931 and 61937 is 3835820347.

LCM(61931,61937) = 3835820347

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Least Common Multiple of 61931 and 61937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61931 and 61937, than apply into the LCM equation.

GCF(61931,61937) = 1
LCM(61931,61937) = ( 61931 × 61937) / 1
LCM(61931,61937) = 3835820347 / 1
LCM(61931,61937) = 3835820347

Least Common Multiple (LCM) of 61931 and 61937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61931 and 61937. First we will calculate the prime factors of 61931 and 61937.

Prime Factorization of 61931

Prime factors of 61931 are 17, 3643. Prime factorization of 61931 in exponential form is:

61931 = 171 × 36431

Prime Factorization of 61937

Prime factors of 61937 are 241, 257. Prime factorization of 61937 in exponential form is:

61937 = 2411 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 61931 and 61937.

LCM(61931,61937) = 171 × 36431 × 2411 × 2571
LCM(61931,61937) = 3835820347