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What is the Least Common Multiple of 90176 and 90189?

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 90176 and 90189 is 8132883264.

LCM(90176,90189) = 8132883264

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Least Common Multiple of 90176 and 90189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90176 and 90189, than apply into the LCM equation.

GCF(90176,90189) = 1
LCM(90176,90189) = ( 90176 × 90189) / 1
LCM(90176,90189) = 8132883264 / 1
LCM(90176,90189) = 8132883264

Least Common Multiple (LCM) of 90176 and 90189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90176 and 90189. First we will calculate the prime factors of 90176 and 90189.

Prime Factorization of 90176

Prime factors of 90176 are 2, 1409. Prime factorization of 90176 in exponential form is:

90176 = 26 × 14091

Prime Factorization of 90189

Prime factors of 90189 are 3, 11, 911. Prime factorization of 90189 in exponential form is:

90189 = 32 × 111 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 90176 and 90189.

LCM(90176,90189) = 26 × 14091 × 32 × 111 × 9111
LCM(90176,90189) = 8132883264