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What is the Least Common Multiple of 18909 and 18925?

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 18909 and 18925 is 357852825.

LCM(18909,18925) = 357852825

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Least Common Multiple of 18909 and 18925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18909 and 18925, than apply into the LCM equation.

GCF(18909,18925) = 1
LCM(18909,18925) = ( 18909 × 18925) / 1
LCM(18909,18925) = 357852825 / 1
LCM(18909,18925) = 357852825

Least Common Multiple (LCM) of 18909 and 18925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18909 and 18925. First we will calculate the prime factors of 18909 and 18925.

Prime Factorization of 18909

Prime factors of 18909 are 3, 11, 191. Prime factorization of 18909 in exponential form is:

18909 = 32 × 111 × 1911

Prime Factorization of 18925

Prime factors of 18925 are 5, 757. Prime factorization of 18925 in exponential form is:

18925 = 52 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 18909 and 18925.

LCM(18909,18925) = 32 × 111 × 1911 × 52 × 7571
LCM(18909,18925) = 357852825