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What is the Least Common Multiple of 18923 and 18938?

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 18923 and 18938 is 358363774.

LCM(18923,18938) = 358363774

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Least Common Multiple of 18923 and 18938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18923 and 18938, than apply into the LCM equation.

GCF(18923,18938) = 1
LCM(18923,18938) = ( 18923 × 18938) / 1
LCM(18923,18938) = 358363774 / 1
LCM(18923,18938) = 358363774

Least Common Multiple (LCM) of 18923 and 18938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18923 and 18938. First we will calculate the prime factors of 18923 and 18938.

Prime Factorization of 18923

Prime factors of 18923 are 127, 149. Prime factorization of 18923 in exponential form is:

18923 = 1271 × 1491

Prime Factorization of 18938

Prime factors of 18938 are 2, 17, 557. Prime factorization of 18938 in exponential form is:

18938 = 21 × 171 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 18923 and 18938.

LCM(18923,18938) = 1271 × 1491 × 21 × 171 × 5571
LCM(18923,18938) = 358363774