What is the Least Common Multiple of 72663 and 72672?

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 72663 and 72672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72663 and 72672, than apply into the LCM equation.

GCF(72663,72672) = 3
LCM(72663,72672) = ( 72663 × 72672) / 3
LCM(72663,72672) = 5280565536 / 3
LCM(72663,72672) = 1760188512

Least Common Multiple (LCM) of 72663 and 72672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72663 and 72672. First we will calculate the prime factors of 72663 and 72672.

Prime Factorization of 72663

Prime Factorization of 72672

Now multiplying the highest exponent prime factors to calculate the LCM of 72663 and 72672.

LCM(72663,72672) = 3¹ × 53¹ × 457¹ × 2⁵ × 757¹
LCM(72663,72672) = 1760188512