GCF and LCM Calculator Logo

What is the Least Common Multiple of 80641 and 80655?

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 80641 and 80655 is 6504099855.

LCM(80641,80655) = 6504099855

LCM Calculator and
and

Least Common Multiple of 80641 and 80655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80641 and 80655, than apply into the LCM equation.

GCF(80641,80655) = 1
LCM(80641,80655) = ( 80641 × 80655) / 1
LCM(80641,80655) = 6504099855 / 1
LCM(80641,80655) = 6504099855

Least Common Multiple (LCM) of 80641 and 80655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80641 and 80655. First we will calculate the prime factors of 80641 and 80655.

Prime Factorization of 80641

Prime factors of 80641 are 11, 7331. Prime factorization of 80641 in exponential form is:

80641 = 111 × 73311

Prime Factorization of 80655

Prime factors of 80655 are 3, 5, 19, 283. Prime factorization of 80655 in exponential form is:

80655 = 31 × 51 × 191 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 80641 and 80655.

LCM(80641,80655) = 111 × 73311 × 31 × 51 × 191 × 2831
LCM(80641,80655) = 6504099855