What is the Least Common Multiple of 71256 and 71264?

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 71256 and 71264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71256 and 71264, than apply into the LCM equation.

GCF(71256,71264) = 8
LCM(71256,71264) = ( 71256 × 71264) / 8
LCM(71256,71264) = 5077987584 / 8
LCM(71256,71264) = 634748448

Least Common Multiple (LCM) of 71256 and 71264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71256 and 71264. First we will calculate the prime factors of 71256 and 71264.

Prime Factorization of 71256

Prime Factorization of 71264

Now multiplying the highest exponent prime factors to calculate the LCM of 71256 and 71264.

LCM(71256,71264) = 2⁵ × 3¹ × 2969¹ × 17¹ × 131¹
LCM(71256,71264) = 634748448