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What is the Least Common Multiple of 77951 and 77971?

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 77951 and 77971 is 6077917421.

LCM(77951,77971) = 6077917421

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Least Common Multiple of 77951 and 77971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77951 and 77971, than apply into the LCM equation.

GCF(77951,77971) = 1
LCM(77951,77971) = ( 77951 × 77971) / 1
LCM(77951,77971) = 6077917421 / 1
LCM(77951,77971) = 6077917421

Least Common Multiple (LCM) of 77951 and 77971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77951 and 77971. First we will calculate the prime factors of 77951 and 77971.

Prime Factorization of 77951

Prime factors of 77951 are 77951. Prime factorization of 77951 in exponential form is:

77951 = 779511

Prime Factorization of 77971

Prime factors of 77971 are 103, 757. Prime factorization of 77971 in exponential form is:

77971 = 1031 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 77951 and 77971.

LCM(77951,77971) = 779511 × 1031 × 7571
LCM(77951,77971) = 6077917421