What is the Least Common Multiple of 46128 and 46144?

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 46128 and 46144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46128 and 46144, than apply into the LCM equation.

GCF(46128,46144) = 16
LCM(46128,46144) = ( 46128 × 46144) / 16
LCM(46128,46144) = 2128530432 / 16
LCM(46128,46144) = 133033152

Least Common Multiple (LCM) of 46128 and 46144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46128 and 46144. First we will calculate the prime factors of 46128 and 46144.

Prime Factorization of 46128

Prime Factorization of 46144

Now multiplying the highest exponent prime factors to calculate the LCM of 46128 and 46144.

LCM(46128,46144) = 2⁶ × 3¹ × 31² × 7¹ × 103¹
LCM(46128,46144) = 133033152