GCF and LCM Calculator Logo

What is the Least Common Multiple of 80659 and 80665?

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 80659 and 80665 is 6506358235.

LCM(80659,80665) = 6506358235

LCM Calculator and
and

Least Common Multiple of 80659 and 80665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80659 and 80665, than apply into the LCM equation.

GCF(80659,80665) = 1
LCM(80659,80665) = ( 80659 × 80665) / 1
LCM(80659,80665) = 6506358235 / 1
LCM(80659,80665) = 6506358235

Least Common Multiple (LCM) of 80659 and 80665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80659 and 80665. First we will calculate the prime factors of 80659 and 80665.

Prime Factorization of 80659

Prime factors of 80659 are 79, 1021. Prime factorization of 80659 in exponential form is:

80659 = 791 × 10211

Prime Factorization of 80665

Prime factors of 80665 are 5, 13, 17, 73. Prime factorization of 80665 in exponential form is:

80665 = 51 × 131 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 80659 and 80665.

LCM(80659,80665) = 791 × 10211 × 51 × 131 × 171 × 731
LCM(80659,80665) = 6506358235