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What is the Least Common Multiple of 18121 and 18132?

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 18121 and 18132 is 328569972.

LCM(18121,18132) = 328569972

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Least Common Multiple of 18121 and 18132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18121 and 18132, than apply into the LCM equation.

GCF(18121,18132) = 1
LCM(18121,18132) = ( 18121 × 18132) / 1
LCM(18121,18132) = 328569972 / 1
LCM(18121,18132) = 328569972

Least Common Multiple (LCM) of 18121 and 18132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18121 and 18132. First we will calculate the prime factors of 18121 and 18132.

Prime Factorization of 18121

Prime factors of 18121 are 18121. Prime factorization of 18121 in exponential form is:

18121 = 181211

Prime Factorization of 18132

Prime factors of 18132 are 2, 3, 1511. Prime factorization of 18132 in exponential form is:

18132 = 22 × 31 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 18121 and 18132.

LCM(18121,18132) = 181211 × 22 × 31 × 15111
LCM(18121,18132) = 328569972