What is the Least Common Multiple of 72678 and 72696?

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 72678 and 72696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72678 and 72696, than apply into the LCM equation.

GCF(72678,72696) = 6
LCM(72678,72696) = ( 72678 × 72696) / 6
LCM(72678,72696) = 5283399888 / 6
LCM(72678,72696) = 880566648

Least Common Multiple (LCM) of 72678 and 72696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72678 and 72696. First we will calculate the prime factors of 72678 and 72696.

Prime Factorization of 72678

Prime Factorization of 72696

Now multiplying the highest exponent prime factors to calculate the LCM of 72678 and 72696.

LCM(72678,72696) = 2³ × 3¹ × 12113¹ × 13¹ × 233¹
LCM(72678,72696) = 880566648