What is the Least Common Multiple of 80646 and 80651?

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 80651 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 80651, than apply into the LCM equation.

GCF(80646,80651) = 1
LCM(80646,80651) = ( 80646 × 80651) / 1
LCM(80646,80651) = 6504180546 / 1
LCM(80646,80651) = 6504180546

Least Common Multiple (LCM) of 80646 and 80651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80646 and 80651. First we will calculate the prime factors of 80646 and 80651.

Prime Factorization of 80646

Prime Factorization of 80651

Now multiplying the highest exponent prime factors to calculate the LCM of 80646 and 80651.

LCM(80646,80651) = 2¹ × 3¹ × 13441¹ × 80651¹
LCM(80646,80651) = 6504180546