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What is the Least Common Multiple of 79631 and 79643?

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 79631 and 79643 is 6342051733.

LCM(79631,79643) = 6342051733

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Least Common Multiple of 79631 and 79643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79631 and 79643, than apply into the LCM equation.

GCF(79631,79643) = 1
LCM(79631,79643) = ( 79631 × 79643) / 1
LCM(79631,79643) = 6342051733 / 1
LCM(79631,79643) = 6342051733

Least Common Multiple (LCM) of 79631 and 79643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79631 and 79643. First we will calculate the prime factors of 79631 and 79643.

Prime Factorization of 79631

Prime factors of 79631 are 79631. Prime factorization of 79631 in exponential form is:

79631 = 796311

Prime Factorization of 79643

Prime factors of 79643 are 73, 1091. Prime factorization of 79643 in exponential form is:

79643 = 731 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 79631 and 79643.

LCM(79631,79643) = 796311 × 731 × 10911
LCM(79631,79643) = 6342051733