GCF and LCM Calculator Logo

What is the Least Common Multiple of 81604 and 81618?

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 81604 and 81618 is 3330177636.

LCM(81604,81618) = 3330177636

LCM Calculator and
and

Least Common Multiple of 81604 and 81618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81604 and 81618, than apply into the LCM equation.

GCF(81604,81618) = 2
LCM(81604,81618) = ( 81604 × 81618) / 2
LCM(81604,81618) = 6660355272 / 2
LCM(81604,81618) = 3330177636

Least Common Multiple (LCM) of 81604 and 81618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81604 and 81618. First we will calculate the prime factors of 81604 and 81618.

Prime Factorization of 81604

Prime factors of 81604 are 2, 23, 887. Prime factorization of 81604 in exponential form is:

81604 = 22 × 231 × 8871

Prime Factorization of 81618

Prime factors of 81618 are 2, 3, 61, 223. Prime factorization of 81618 in exponential form is:

81618 = 21 × 31 × 611 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 81604 and 81618.

LCM(81604,81618) = 22 × 231 × 8871 × 31 × 611 × 2231
LCM(81604,81618) = 3330177636