What is the Least Common Multiple of 36256 and 36261?

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 36256 and 36261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36256 and 36261, than apply into the LCM equation.

GCF(36256,36261) = 1
LCM(36256,36261) = ( 36256 × 36261) / 1
LCM(36256,36261) = 1314678816 / 1
LCM(36256,36261) = 1314678816

Least Common Multiple (LCM) of 36256 and 36261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36256 and 36261. First we will calculate the prime factors of 36256 and 36261.

Prime Factorization of 36256

Prime Factorization of 36261

Now multiplying the highest exponent prime factors to calculate the LCM of 36256 and 36261.

LCM(36256,36261) = 2⁵ × 11¹ × 103¹ × 3³ × 17¹ × 79¹
LCM(36256,36261) = 1314678816