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What is the Least Common Multiple of 18554 and 18564?

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 18554 and 18564 is 172218228.

LCM(18554,18564) = 172218228

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Least Common Multiple of 18554 and 18564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18554 and 18564, than apply into the LCM equation.

GCF(18554,18564) = 2
LCM(18554,18564) = ( 18554 × 18564) / 2
LCM(18554,18564) = 344436456 / 2
LCM(18554,18564) = 172218228

Least Common Multiple (LCM) of 18554 and 18564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18554 and 18564. First we will calculate the prime factors of 18554 and 18564.

Prime Factorization of 18554

Prime factors of 18554 are 2, 9277. Prime factorization of 18554 in exponential form is:

18554 = 21 × 92771

Prime Factorization of 18564

Prime factors of 18564 are 2, 3, 7, 13, 17. Prime factorization of 18564 in exponential form is:

18564 = 22 × 31 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 18554 and 18564.

LCM(18554,18564) = 22 × 92771 × 31 × 71 × 131 × 171
LCM(18554,18564) = 172218228