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What is the Least Common Multiple of 18175 and 18186?

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 18175 and 18186 is 330530550.

LCM(18175,18186) = 330530550

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Least Common Multiple of 18175 and 18186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18175 and 18186, than apply into the LCM equation.

GCF(18175,18186) = 1
LCM(18175,18186) = ( 18175 × 18186) / 1
LCM(18175,18186) = 330530550 / 1
LCM(18175,18186) = 330530550

Least Common Multiple (LCM) of 18175 and 18186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18175 and 18186. First we will calculate the prime factors of 18175 and 18186.

Prime Factorization of 18175

Prime factors of 18175 are 5, 727. Prime factorization of 18175 in exponential form is:

18175 = 52 × 7271

Prime Factorization of 18186

Prime factors of 18186 are 2, 3, 7, 433. Prime factorization of 18186 in exponential form is:

18186 = 21 × 31 × 71 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 18175 and 18186.

LCM(18175,18186) = 52 × 7271 × 21 × 31 × 71 × 4331
LCM(18175,18186) = 330530550