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What is the Least Common Multiple of 18604 and 18616?

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 18604 and 18616 is 86583016.

LCM(18604,18616) = 86583016

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Least Common Multiple of 18604 and 18616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18604 and 18616, than apply into the LCM equation.

GCF(18604,18616) = 4
LCM(18604,18616) = ( 18604 × 18616) / 4
LCM(18604,18616) = 346332064 / 4
LCM(18604,18616) = 86583016

Least Common Multiple (LCM) of 18604 and 18616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18604 and 18616. First we will calculate the prime factors of 18604 and 18616.

Prime Factorization of 18604

Prime factors of 18604 are 2, 4651. Prime factorization of 18604 in exponential form is:

18604 = 22 × 46511

Prime Factorization of 18616

Prime factors of 18616 are 2, 13, 179. Prime factorization of 18616 in exponential form is:

18616 = 23 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 18604 and 18616.

LCM(18604,18616) = 23 × 46511 × 131 × 1791
LCM(18604,18616) = 86583016