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What is the Least Common Multiple of 79263 and 79277?

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 79263 and 79277 is 6283732851.

LCM(79263,79277) = 6283732851

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Least Common Multiple of 79263 and 79277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79263 and 79277, than apply into the LCM equation.

GCF(79263,79277) = 1
LCM(79263,79277) = ( 79263 × 79277) / 1
LCM(79263,79277) = 6283732851 / 1
LCM(79263,79277) = 6283732851

Least Common Multiple (LCM) of 79263 and 79277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79263 and 79277. First we will calculate the prime factors of 79263 and 79277.

Prime Factorization of 79263

Prime factors of 79263 are 3, 8807. Prime factorization of 79263 in exponential form is:

79263 = 32 × 88071

Prime Factorization of 79277

Prime factors of 79277 are 11, 7207. Prime factorization of 79277 in exponential form is:

79277 = 111 × 72071

Now multiplying the highest exponent prime factors to calculate the LCM of 79263 and 79277.

LCM(79263,79277) = 32 × 88071 × 111 × 72071
LCM(79263,79277) = 6283732851