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What is the Least Common Multiple of 18177 and 18188?

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 18177 and 18188 is 330603276.

LCM(18177,18188) = 330603276

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Least Common Multiple of 18177 and 18188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18177 and 18188, than apply into the LCM equation.

GCF(18177,18188) = 1
LCM(18177,18188) = ( 18177 × 18188) / 1
LCM(18177,18188) = 330603276 / 1
LCM(18177,18188) = 330603276

Least Common Multiple (LCM) of 18177 and 18188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18177 and 18188. First we will calculate the prime factors of 18177 and 18188.

Prime Factorization of 18177

Prime factors of 18177 are 3, 73, 83. Prime factorization of 18177 in exponential form is:

18177 = 31 × 731 × 831

Prime Factorization of 18188

Prime factors of 18188 are 2, 4547. Prime factorization of 18188 in exponential form is:

18188 = 22 × 45471

Now multiplying the highest exponent prime factors to calculate the LCM of 18177 and 18188.

LCM(18177,18188) = 31 × 731 × 831 × 22 × 45471
LCM(18177,18188) = 330603276