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What is the Least Common Multiple of 88479 and 88497?

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 88479 and 88497 is 870014007.

LCM(88479,88497) = 870014007

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Least Common Multiple of 88479 and 88497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88479 and 88497, than apply into the LCM equation.

GCF(88479,88497) = 9
LCM(88479,88497) = ( 88479 × 88497) / 9
LCM(88479,88497) = 7830126063 / 9
LCM(88479,88497) = 870014007

Least Common Multiple (LCM) of 88479 and 88497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88479 and 88497. First we will calculate the prime factors of 88479 and 88497.

Prime Factorization of 88479

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

88479 = 33 × 291 × 1131

Prime Factorization of 88497

Prime factors of 88497 are 3, 9833. Prime factorization of 88497 in exponential form is:

88497 = 32 × 98331

Now multiplying the highest exponent prime factors to calculate the LCM of 88479 and 88497.

LCM(88479,88497) = 33 × 291 × 1131 × 98331
LCM(88479,88497) = 870014007