What is the Least Common Multiple of 45128 and 45146?

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 45128 and 45146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45128 and 45146, than apply into the LCM equation.

GCF(45128,45146) = 2
LCM(45128,45146) = ( 45128 × 45146) / 2
LCM(45128,45146) = 2037348688 / 2
LCM(45128,45146) = 1018674344

Least Common Multiple (LCM) of 45128 and 45146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45128 and 45146. First we will calculate the prime factors of 45128 and 45146.

Prime Factorization of 45128

Prime Factorization of 45146

Now multiplying the highest exponent prime factors to calculate the LCM of 45128 and 45146.

LCM(45128,45146) = 2³ × 5641¹ × 22573¹
LCM(45128,45146) = 1018674344