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What is the Least Common Multiple of 88479 and 88490?

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 88490 is 7829506710.

LCM(88479,88490) = 7829506710

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Least Common Multiple of 88479 and 88490 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 88490, than apply into the LCM equation.

GCF(88479,88490) = 1
LCM(88479,88490) = ( 88479 × 88490) / 1
LCM(88479,88490) = 7829506710 / 1
LCM(88479,88490) = 7829506710

Least Common Multiple (LCM) of 88479 and 88490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88479 and 88490. First we will calculate the prime factors of 88479 and 88490.

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 88490

Prime factors of 88490 are 2, 5, 8849. Prime factorization of 88490 in exponential form is:

88490 = 21 × 51 × 88491

Now multiplying the highest exponent prime factors to calculate the LCM of 88479 and 88490.

LCM(88479,88490) = 33 × 291 × 1131 × 21 × 51 × 88491
LCM(88479,88490) = 7829506710