What is the Least Common Multiple of 80688 and 80700?

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 80688 and 80700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80688 and 80700, than apply into the LCM equation.

GCF(80688,80700) = 12
LCM(80688,80700) = ( 80688 × 80700) / 12
LCM(80688,80700) = 6511521600 / 12
LCM(80688,80700) = 542626800

Least Common Multiple (LCM) of 80688 and 80700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80688 and 80700. First we will calculate the prime factors of 80688 and 80700.

Prime Factorization of 80688

Prime Factorization of 80700

Now multiplying the highest exponent prime factors to calculate the LCM of 80688 and 80700.

LCM(80688,80700) = 2⁴ × 3¹ × 41² × 5² × 269¹
LCM(80688,80700) = 542626800