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What is the Least Common Multiple of 76921 and 76937?

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 76921 and 76937 is 5918070977.

LCM(76921,76937) = 5918070977

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Least Common Multiple of 76921 and 76937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76921 and 76937, than apply into the LCM equation.

GCF(76921,76937) = 1
LCM(76921,76937) = ( 76921 × 76937) / 1
LCM(76921,76937) = 5918070977 / 1
LCM(76921,76937) = 5918070977

Least Common Multiple (LCM) of 76921 and 76937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76921 and 76937. First we will calculate the prime factors of 76921 and 76937.

Prime Factorization of 76921

Prime factors of 76921 are 13, 61, 97. Prime factorization of 76921 in exponential form is:

76921 = 131 × 611 × 971

Prime Factorization of 76937

Prime factors of 76937 are 7, 29, 379. Prime factorization of 76937 in exponential form is:

76937 = 71 × 291 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 76921 and 76937.

LCM(76921,76937) = 131 × 611 × 971 × 71 × 291 × 3791
LCM(76921,76937) = 5918070977