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What is the Least Common Multiple of 18751 and 18757?

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 18751 and 18757 is 351712507.

LCM(18751,18757) = 351712507

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Least Common Multiple of 18751 and 18757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18751 and 18757, than apply into the LCM equation.

GCF(18751,18757) = 1
LCM(18751,18757) = ( 18751 × 18757) / 1
LCM(18751,18757) = 351712507 / 1
LCM(18751,18757) = 351712507

Least Common Multiple (LCM) of 18751 and 18757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18751 and 18757. First we will calculate the prime factors of 18751 and 18757.

Prime Factorization of 18751

Prime factors of 18751 are 17, 1103. Prime factorization of 18751 in exponential form is:

18751 = 171 × 11031

Prime Factorization of 18757

Prime factors of 18757 are 18757. Prime factorization of 18757 in exponential form is:

18757 = 187571

Now multiplying the highest exponent prime factors to calculate the LCM of 18751 and 18757.

LCM(18751,18757) = 171 × 11031 × 187571
LCM(18751,18757) = 351712507