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What is the Least Common Multiple of 18208 and 18219?

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 18208 and 18219 is 331731552.

LCM(18208,18219) = 331731552

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Least Common Multiple of 18208 and 18219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18208 and 18219, than apply into the LCM equation.

GCF(18208,18219) = 1
LCM(18208,18219) = ( 18208 × 18219) / 1
LCM(18208,18219) = 331731552 / 1
LCM(18208,18219) = 331731552

Least Common Multiple (LCM) of 18208 and 18219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18208 and 18219. First we will calculate the prime factors of 18208 and 18219.

Prime Factorization of 18208

Prime factors of 18208 are 2, 569. Prime factorization of 18208 in exponential form is:

18208 = 25 × 5691

Prime Factorization of 18219

Prime factors of 18219 are 3, 6073. Prime factorization of 18219 in exponential form is:

18219 = 31 × 60731

Now multiplying the highest exponent prime factors to calculate the LCM of 18208 and 18219.

LCM(18208,18219) = 25 × 5691 × 31 × 60731
LCM(18208,18219) = 331731552