What is the Least Common Multiple of 72618 and 72633?

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 72618 and 72633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72618 and 72633, than apply into the LCM equation.

GCF(72618,72633) = 3
LCM(72618,72633) = ( 72618 × 72633) / 3
LCM(72618,72633) = 5274463194 / 3
LCM(72618,72633) = 1758154398

Least Common Multiple (LCM) of 72618 and 72633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72618 and 72633. First we will calculate the prime factors of 72618 and 72633.

Prime Factorization of 72618

Prime Factorization of 72633

Now multiplying the highest exponent prime factors to calculate the LCM of 72618 and 72633.

LCM(72618,72633) = 2¹ × 3¹ × 7² × 13¹ × 19¹ × 11¹ × 31¹ × 71¹
LCM(72618,72633) = 1758154398