What is the Least Common Multiple of 72786 and 72798?

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 72786 and 72798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72786 and 72798, than apply into the LCM equation.

GCF(72786,72798) = 6
LCM(72786,72798) = ( 72786 × 72798) / 6
LCM(72786,72798) = 5298675228 / 6
LCM(72786,72798) = 883112538

Least Common Multiple (LCM) of 72786 and 72798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72786 and 72798. First we will calculate the prime factors of 72786 and 72798.

Prime Factorization of 72786

Prime Factorization of 72798

Now multiplying the highest exponent prime factors to calculate the LCM of 72786 and 72798.

LCM(72786,72798) = 2¹ × 3¹ × 7¹ × 1733¹ × 11¹ × 1103¹
LCM(72786,72798) = 883112538