What is the Least Common Multiple of 40256 and 40261?

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 40261 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 40261, than apply into the LCM equation.

GCF(40256,40261) = 1
LCM(40256,40261) = ( 40256 × 40261) / 1
LCM(40256,40261) = 1620746816 / 1
LCM(40256,40261) = 1620746816

Least Common Multiple (LCM) of 40256 and 40261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40256 and 40261. First we will calculate the prime factors of 40256 and 40261.

Prime Factorization of 40256

Prime Factorization of 40261

Now multiplying the highest exponent prime factors to calculate the LCM of 40256 and 40261.

LCM(40256,40261) = 2⁶ × 17¹ × 37¹ × 13¹ × 19¹ × 163¹
LCM(40256,40261) = 1620746816