What is the Least Common Multiple of 45856 and 45864?

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 45856 and 45864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45856 and 45864, than apply into the LCM equation.

GCF(45856,45864) = 8
LCM(45856,45864) = ( 45856 × 45864) / 8
LCM(45856,45864) = 2103139584 / 8
LCM(45856,45864) = 262892448

Least Common Multiple (LCM) of 45856 and 45864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45856 and 45864. First we will calculate the prime factors of 45856 and 45864.

Prime Factorization of 45856

Prime Factorization of 45864

Now multiplying the highest exponent prime factors to calculate the LCM of 45856 and 45864.

LCM(45856,45864) = 2⁵ × 1433¹ × 3² × 7² × 13¹
LCM(45856,45864) = 262892448