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What is the Least Common Multiple of 18913 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 18913 and 18925 is 357928525.

LCM(18913,18925) = 357928525

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Least Common Multiple of 18913 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 18913 and 18925, than apply into the LCM equation.

GCF(18913,18925) = 1
LCM(18913,18925) = ( 18913 × 18925) / 1
LCM(18913,18925) = 357928525 / 1
LCM(18913,18925) = 357928525

Least Common Multiple (LCM) of 18913 and 18925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18913 and 18925. First we will calculate the prime factors of 18913 and 18925.

Prime Factorization of 18913

Prime factors of 18913 are 18913. Prime factorization of 18913 in exponential form is:

18913 = 189131

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 18913 and 18925.

LCM(18913,18925) = 189131 × 52 × 7571
LCM(18913,18925) = 357928525