GCF and LCM Calculator Logo

What is the Least Common Multiple of 80647 and 80660?

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 80647 and 80660 is 6504987020.

LCM(80647,80660) = 6504987020

LCM Calculator and
and

Least Common Multiple of 80647 and 80660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80647 and 80660, than apply into the LCM equation.

GCF(80647,80660) = 1
LCM(80647,80660) = ( 80647 × 80660) / 1
LCM(80647,80660) = 6504987020 / 1
LCM(80647,80660) = 6504987020

Least Common Multiple (LCM) of 80647 and 80660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80647 and 80660. First we will calculate the prime factors of 80647 and 80660.

Prime Factorization of 80647

Prime factors of 80647 are 7, 41, 281. Prime factorization of 80647 in exponential form is:

80647 = 71 × 411 × 2811

Prime Factorization of 80660

Prime factors of 80660 are 2, 5, 37, 109. Prime factorization of 80660 in exponential form is:

80660 = 22 × 51 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 80647 and 80660.

LCM(80647,80660) = 71 × 411 × 2811 × 22 × 51 × 371 × 1091
LCM(80647,80660) = 6504987020