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What is the Least Common Multiple of 79451 and 79467?

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 79451 and 79467 is 6313732617.

LCM(79451,79467) = 6313732617

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Least Common Multiple of 79451 and 79467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79451 and 79467, than apply into the LCM equation.

GCF(79451,79467) = 1
LCM(79451,79467) = ( 79451 × 79467) / 1
LCM(79451,79467) = 6313732617 / 1
LCM(79451,79467) = 6313732617

Least Common Multiple (LCM) of 79451 and 79467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79451 and 79467. First we will calculate the prime factors of 79451 and 79467.

Prime Factorization of 79451

Prime factors of 79451 are 79451. Prime factorization of 79451 in exponential form is:

79451 = 794511

Prime Factorization of 79467

Prime factors of 79467 are 3, 26489. Prime factorization of 79467 in exponential form is:

79467 = 31 × 264891

Now multiplying the highest exponent prime factors to calculate the LCM of 79451 and 79467.

LCM(79451,79467) = 794511 × 31 × 264891
LCM(79451,79467) = 6313732617