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What is the Least Common Multiple of 79267 and 79283?

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 79267 and 79283 is 6284525561.

LCM(79267,79283) = 6284525561

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Least Common Multiple of 79267 and 79283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79267 and 79283, than apply into the LCM equation.

GCF(79267,79283) = 1
LCM(79267,79283) = ( 79267 × 79283) / 1
LCM(79267,79283) = 6284525561 / 1
LCM(79267,79283) = 6284525561

Least Common Multiple (LCM) of 79267 and 79283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79267 and 79283. First we will calculate the prime factors of 79267 and 79283.

Prime Factorization of 79267

Prime factors of 79267 are 31, 2557. Prime factorization of 79267 in exponential form is:

79267 = 311 × 25571

Prime Factorization of 79283

Prime factors of 79283 are 79283. Prime factorization of 79283 in exponential form is:

79283 = 792831

Now multiplying the highest exponent prime factors to calculate the LCM of 79267 and 79283.

LCM(79267,79283) = 311 × 25571 × 792831
LCM(79267,79283) = 6284525561