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What is the Least Common Multiple of 18729 and 18737?

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 18729 and 18737 is 350925273.

LCM(18729,18737) = 350925273

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Least Common Multiple of 18729 and 18737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18729 and 18737, than apply into the LCM equation.

GCF(18729,18737) = 1
LCM(18729,18737) = ( 18729 × 18737) / 1
LCM(18729,18737) = 350925273 / 1
LCM(18729,18737) = 350925273

Least Common Multiple (LCM) of 18729 and 18737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18729 and 18737. First we will calculate the prime factors of 18729 and 18737.

Prime Factorization of 18729

Prime factors of 18729 are 3, 2081. Prime factorization of 18729 in exponential form is:

18729 = 32 × 20811

Prime Factorization of 18737

Prime factors of 18737 are 41, 457. Prime factorization of 18737 in exponential form is:

18737 = 411 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 18729 and 18737.

LCM(18729,18737) = 32 × 20811 × 411 × 4571
LCM(18729,18737) = 350925273