What is the Least Common Multiple of 4256 and 4264?

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 4256 and 4264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4256 and 4264, than apply into the LCM equation.

GCF(4256,4264) = 8
LCM(4256,4264) = ( 4256 × 4264) / 8
LCM(4256,4264) = 18147584 / 8
LCM(4256,4264) = 2268448

Least Common Multiple (LCM) of 4256 and 4264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4256 and 4264. First we will calculate the prime factors of 4256 and 4264.

Prime Factorization of 4256

Prime Factorization of 4264

Now multiplying the highest exponent prime factors to calculate the LCM of 4256 and 4264.

LCM(4256,4264) = 2⁵ × 7¹ × 19¹ × 13¹ × 41¹
LCM(4256,4264) = 2268448