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What is the Least Common Multiple of 18612 and 18617?

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 18612 and 18617 is 346499604.

LCM(18612,18617) = 346499604

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Least Common Multiple of 18612 and 18617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18612 and 18617, than apply into the LCM equation.

GCF(18612,18617) = 1
LCM(18612,18617) = ( 18612 × 18617) / 1
LCM(18612,18617) = 346499604 / 1
LCM(18612,18617) = 346499604

Least Common Multiple (LCM) of 18612 and 18617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18612 and 18617. First we will calculate the prime factors of 18612 and 18617.

Prime Factorization of 18612

Prime factors of 18612 are 2, 3, 11, 47. Prime factorization of 18612 in exponential form is:

18612 = 22 × 32 × 111 × 471

Prime Factorization of 18617

Prime factors of 18617 are 18617. Prime factorization of 18617 in exponential form is:

18617 = 186171

Now multiplying the highest exponent prime factors to calculate the LCM of 18612 and 18617.

LCM(18612,18617) = 22 × 32 × 111 × 471 × 186171
LCM(18612,18617) = 346499604