What is the Least Common Multiple of 80646 and 80659?

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 of 80646 and 80659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80646 and 80659, than apply into the LCM equation.

GCF(80646,80659) = 1
LCM(80646,80659) = ( 80646 × 80659) / 1
LCM(80646,80659) = 6504825714 / 1
LCM(80646,80659) = 6504825714

Least Common Multiple (LCM) of 80646 and 80659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80646 and 80659. First we will calculate the prime factors of 80646 and 80659.

Prime Factorization of 80646

Prime Factorization of 80659

Now multiplying the highest exponent prime factors to calculate the LCM of 80646 and 80659.

LCM(80646,80659) = 2¹ × 3¹ × 13441¹ × 79¹ × 1021¹
LCM(80646,80659) = 6504825714