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What is the Least Common Multiple of 18844 and 18857?

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 18844 and 18857 is 355341308.

LCM(18844,18857) = 355341308

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Least Common Multiple of 18844 and 18857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18844 and 18857, than apply into the LCM equation.

GCF(18844,18857) = 1
LCM(18844,18857) = ( 18844 × 18857) / 1
LCM(18844,18857) = 355341308 / 1
LCM(18844,18857) = 355341308

Least Common Multiple (LCM) of 18844 and 18857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18844 and 18857. First we will calculate the prime factors of 18844 and 18857.

Prime Factorization of 18844

Prime factors of 18844 are 2, 7, 673. Prime factorization of 18844 in exponential form is:

18844 = 22 × 71 × 6731

Prime Factorization of 18857

Prime factors of 18857 are 109, 173. Prime factorization of 18857 in exponential form is:

18857 = 1091 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 18844 and 18857.

LCM(18844,18857) = 22 × 71 × 6731 × 1091 × 1731
LCM(18844,18857) = 355341308