What is the Least Common Multiple of 62256 and 62264?

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 62256 and 62264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62256 and 62264, than apply into the LCM equation.

GCF(62256,62264) = 8
LCM(62256,62264) = ( 62256 × 62264) / 8
LCM(62256,62264) = 3876307584 / 8
LCM(62256,62264) = 484538448

Least Common Multiple (LCM) of 62256 and 62264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62256 and 62264. First we will calculate the prime factors of 62256 and 62264.

Prime Factorization of 62256

Prime Factorization of 62264

Now multiplying the highest exponent prime factors to calculate the LCM of 62256 and 62264.

LCM(62256,62264) = 2⁴ × 3¹ × 1297¹ × 43¹ × 181¹
LCM(62256,62264) = 484538448