What is the Least Common Multiple of 72048 and 72066?

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 72048 and 72066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72048 and 72066, than apply into the LCM equation.

GCF(72048,72066) = 6
LCM(72048,72066) = ( 72048 × 72066) / 6
LCM(72048,72066) = 5192211168 / 6
LCM(72048,72066) = 865368528

Least Common Multiple (LCM) of 72048 and 72066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72048 and 72066. First we will calculate the prime factors of 72048 and 72066.

Prime Factorization of 72048

Prime Factorization of 72066

Now multiplying the highest exponent prime factors to calculate the LCM of 72048 and 72066.

LCM(72048,72066) = 2⁴ × 3¹ × 19¹ × 79¹ × 12011¹
LCM(72048,72066) = 865368528