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What is the Least Common Multiple of 18957 and 18964?

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 18957 and 18964 is 359500548.

LCM(18957,18964) = 359500548

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Least Common Multiple of 18957 and 18964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18957 and 18964, than apply into the LCM equation.

GCF(18957,18964) = 1
LCM(18957,18964) = ( 18957 × 18964) / 1
LCM(18957,18964) = 359500548 / 1
LCM(18957,18964) = 359500548

Least Common Multiple (LCM) of 18957 and 18964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18957 and 18964. First we will calculate the prime factors of 18957 and 18964.

Prime Factorization of 18957

Prime factors of 18957 are 3, 71, 89. Prime factorization of 18957 in exponential form is:

18957 = 31 × 711 × 891

Prime Factorization of 18964

Prime factors of 18964 are 2, 11, 431. Prime factorization of 18964 in exponential form is:

18964 = 22 × 111 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 18957 and 18964.

LCM(18957,18964) = 31 × 711 × 891 × 22 × 111 × 4311
LCM(18957,18964) = 359500548