What is the Least Common Multiple of 72896 and 72908?

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 72896 and 72908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72896 and 72908, than apply into the LCM equation.

GCF(72896,72908) = 4
LCM(72896,72908) = ( 72896 × 72908) / 4
LCM(72896,72908) = 5314701568 / 4
LCM(72896,72908) = 1328675392

Least Common Multiple (LCM) of 72896 and 72908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72896 and 72908. First we will calculate the prime factors of 72896 and 72908.

Prime Factorization of 72896

Prime Factorization of 72908

Now multiplying the highest exponent prime factors to calculate the LCM of 72896 and 72908.

LCM(72896,72908) = 2⁶ × 17¹ × 67¹ × 11¹ × 1657¹
LCM(72896,72908) = 1328675392