What is the Least Common Multiple of 40256 and 40264?

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 40256 and 40264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40256 and 40264, than apply into the LCM equation.

GCF(40256,40264) = 8
LCM(40256,40264) = ( 40256 × 40264) / 8
LCM(40256,40264) = 1620867584 / 8
LCM(40256,40264) = 202608448

Least Common Multiple (LCM) of 40256 and 40264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40256 and 40264. First we will calculate the prime factors of 40256 and 40264.

Prime Factorization of 40256

Prime Factorization of 40264

Now multiplying the highest exponent prime factors to calculate the LCM of 40256 and 40264.

LCM(40256,40264) = 2⁶ × 17¹ × 37¹ × 7¹ × 719¹
LCM(40256,40264) = 202608448