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What is the Least Common Multiple of 18331 and 18337?

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 18337 is 336135547.

LCM(18331,18337) = 336135547

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Least Common Multiple of 18331 and 18337 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 18337, than apply into the LCM equation.

GCF(18331,18337) = 1
LCM(18331,18337) = ( 18331 × 18337) / 1
LCM(18331,18337) = 336135547 / 1
LCM(18331,18337) = 336135547

Least Common Multiple (LCM) of 18331 and 18337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18331 and 18337. First we will calculate the prime factors of 18331 and 18337.

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 18337

Prime factors of 18337 are 11, 1667. Prime factorization of 18337 in exponential form is:

18337 = 111 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 18331 and 18337.

LCM(18331,18337) = 231 × 7971 × 111 × 16671
LCM(18331,18337) = 336135547