What is the Least Common Multiple of 72645 and 72660?

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 72645 and 72660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72645 and 72660, than apply into the LCM equation.

GCF(72645,72660) = 15
LCM(72645,72660) = ( 72645 × 72660) / 15
LCM(72645,72660) = 5278385700 / 15
LCM(72645,72660) = 351892380

Least Common Multiple (LCM) of 72645 and 72660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72645 and 72660. First we will calculate the prime factors of 72645 and 72660.

Prime Factorization of 72645

Prime Factorization of 72660

Now multiplying the highest exponent prime factors to calculate the LCM of 72645 and 72660.

LCM(72645,72660) = 3¹ × 5¹ × 29¹ × 167¹ × 2² × 7¹ × 173¹
LCM(72645,72660) = 351892380