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What is the Least Common Multiple of 77951 and 77959?

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 77959 is 6076982009.

LCM(77951,77959) = 6076982009

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Least Common Multiple of 77951 and 77959 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 77959, than apply into the LCM equation.

GCF(77951,77959) = 1
LCM(77951,77959) = ( 77951 × 77959) / 1
LCM(77951,77959) = 6076982009 / 1
LCM(77951,77959) = 6076982009

Least Common Multiple (LCM) of 77951 and 77959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77951 and 77959. First we will calculate the prime factors of 77951 and 77959.

Prime Factorization of 77951

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

77951 = 779511

Prime Factorization of 77959

Prime factors of 77959 are 7, 37, 43. Prime factorization of 77959 in exponential form is:

77959 = 72 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 77951 and 77959.

LCM(77951,77959) = 779511 × 72 × 371 × 431
LCM(77951,77959) = 6076982009