What is the Least Common Multiple of 80646 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 of 80646 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 80646 and 80660, than apply into the LCM equation.

GCF(80646,80660) = 2
LCM(80646,80660) = ( 80646 × 80660) / 2
LCM(80646,80660) = 6504906360 / 2
LCM(80646,80660) = 3252453180

Least Common Multiple (LCM) of 80646 and 80660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80646 and 80660. First we will calculate the prime factors of 80646 and 80660.

Prime Factorization of 80646

Prime Factorization of 80660

Now multiplying the highest exponent prime factors to calculate the LCM of 80646 and 80660.

LCM(80646,80660) = 2² × 3¹ × 13441¹ × 5¹ × 37¹ × 109¹
LCM(80646,80660) = 3252453180