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What is the Least Common Multiple of 18957 and 18967?

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 18967 is 359557419.

LCM(18957,18967) = 359557419

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Least Common Multiple of 18957 and 18967 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 18967, than apply into the LCM equation.

GCF(18957,18967) = 1
LCM(18957,18967) = ( 18957 × 18967) / 1
LCM(18957,18967) = 359557419 / 1
LCM(18957,18967) = 359557419

Least Common Multiple (LCM) of 18957 and 18967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18957 and 18967. First we will calculate the prime factors of 18957 and 18967.

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 18967

Prime factors of 18967 are 13, 1459. Prime factorization of 18967 in exponential form is:

18967 = 131 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 18957 and 18967.

LCM(18957,18967) = 31 × 711 × 891 × 131 × 14591
LCM(18957,18967) = 359557419