What is the Least Common Multiple of 72660 and 72679?

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 72660 and 72679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72660 and 72679, than apply into the LCM equation.

GCF(72660,72679) = 1
LCM(72660,72679) = ( 72660 × 72679) / 1
LCM(72660,72679) = 5280856140 / 1
LCM(72660,72679) = 5280856140

Least Common Multiple (LCM) of 72660 and 72679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72660 and 72679. First we will calculate the prime factors of 72660 and 72679.

Prime Factorization of 72660

Prime Factorization of 72679

Now multiplying the highest exponent prime factors to calculate the LCM of 72660 and 72679.

LCM(72660,72679) = 2² × 3¹ × 5¹ × 7¹ × 173¹ × 72679¹
LCM(72660,72679) = 5280856140