What is the Least Common Multiple of 36248 and 36256?

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 36248 and 36256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36248 and 36256, than apply into the LCM equation.

GCF(36248,36256) = 8
LCM(36248,36256) = ( 36248 × 36256) / 8
LCM(36248,36256) = 1314207488 / 8
LCM(36248,36256) = 164275936

Least Common Multiple (LCM) of 36248 and 36256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36248 and 36256. First we will calculate the prime factors of 36248 and 36256.

Prime Factorization of 36248

Prime Factorization of 36256

Now multiplying the highest exponent prime factors to calculate the LCM of 36248 and 36256.

LCM(36248,36256) = 2⁵ × 23¹ × 197¹ × 11¹ × 103¹
LCM(36248,36256) = 164275936