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What is the Least Common Multiple of 88465 and 88479?

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 88465 and 88479 is 7827294735.

LCM(88465,88479) = 7827294735

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Least Common Multiple of 88465 and 88479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88465 and 88479, than apply into the LCM equation.

GCF(88465,88479) = 1
LCM(88465,88479) = ( 88465 × 88479) / 1
LCM(88465,88479) = 7827294735 / 1
LCM(88465,88479) = 7827294735

Least Common Multiple (LCM) of 88465 and 88479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88465 and 88479. First we will calculate the prime factors of 88465 and 88479.

Prime Factorization of 88465

Prime factors of 88465 are 5, 13, 1361. Prime factorization of 88465 in exponential form is:

88465 = 51 × 131 × 13611

Prime Factorization of 88479

Prime factors of 88479 are 3, 29, 113. Prime factorization of 88479 in exponential form is:

88479 = 33 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 88465 and 88479.

LCM(88465,88479) = 51 × 131 × 13611 × 33 × 291 × 1131
LCM(88465,88479) = 7827294735