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What is the Least Common Multiple of 18331 and 18339?

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 18331 and 18339 is 336172209.

LCM(18331,18339) = 336172209

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Least Common Multiple of 18331 and 18339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18331 and 18339, than apply into the LCM equation.

GCF(18331,18339) = 1
LCM(18331,18339) = ( 18331 × 18339) / 1
LCM(18331,18339) = 336172209 / 1
LCM(18331,18339) = 336172209

Least Common Multiple (LCM) of 18331 and 18339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18331 and 18339. First we will calculate the prime factors of 18331 and 18339.

Prime Factorization of 18331

Prime factors of 18331 are 23, 797. Prime factorization of 18331 in exponential form is:

18331 = 231 × 7971

Prime Factorization of 18339

Prime factors of 18339 are 3, 6113. Prime factorization of 18339 in exponential form is:

18339 = 31 × 61131

Now multiplying the highest exponent prime factors to calculate the LCM of 18331 and 18339.

LCM(18331,18339) = 231 × 7971 × 31 × 61131
LCM(18331,18339) = 336172209