What is the Least Common Multiple of 62238 and 62256?

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 62238 and 62256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62238 and 62256, than apply into the LCM equation.

GCF(62238,62256) = 6
LCM(62238,62256) = ( 62238 × 62256) / 6
LCM(62238,62256) = 3874688928 / 6
LCM(62238,62256) = 645781488

Least Common Multiple (LCM) of 62238 and 62256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62238 and 62256. First we will calculate the prime factors of 62238 and 62256.

Prime Factorization of 62238

Prime Factorization of 62256

Now multiplying the highest exponent prime factors to calculate the LCM of 62238 and 62256.

LCM(62238,62256) = 2⁴ × 3¹ × 11¹ × 23¹ × 41¹ × 1297¹
LCM(62238,62256) = 645781488