What is the Least Common Multiple of 80758 and 80772?

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 80758 and 80772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80758 and 80772, than apply into the LCM equation.

GCF(80758,80772) = 2
LCM(80758,80772) = ( 80758 × 80772) / 2
LCM(80758,80772) = 6522985176 / 2
LCM(80758,80772) = 3261492588

Least Common Multiple (LCM) of 80758 and 80772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80758 and 80772. First we will calculate the prime factors of 80758 and 80772.

Prime Factorization of 80758

Prime Factorization of 80772

Now multiplying the highest exponent prime factors to calculate the LCM of 80758 and 80772.

LCM(80758,80772) = 2² × 149¹ × 271¹ × 3¹ × 53¹ × 127¹
LCM(80758,80772) = 3261492588