What is the Least Common Multiple of 72666 and 72671?

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 72666 and 72671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72666 and 72671, than apply into the LCM equation.

GCF(72666,72671) = 1
LCM(72666,72671) = ( 72666 × 72671) / 1
LCM(72666,72671) = 5280710886 / 1
LCM(72666,72671) = 5280710886

Least Common Multiple (LCM) of 72666 and 72671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72666 and 72671. First we will calculate the prime factors of 72666 and 72671.

Prime Factorization of 72666

Prime Factorization of 72671

Now multiplying the highest exponent prime factors to calculate the LCM of 72666 and 72671.

LCM(72666,72671) = 2¹ × 3² × 11¹ × 367¹ × 72671¹
LCM(72666,72671) = 5280710886