What is the Least Common Multiple of 46128 and 46132?

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 46132 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 46132, than apply into the LCM equation.

GCF(46128,46132) = 4
LCM(46128,46132) = ( 46128 × 46132) / 4
LCM(46128,46132) = 2127976896 / 4
LCM(46128,46132) = 531994224

Least Common Multiple (LCM) of 46128 and 46132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46128 and 46132. First we will calculate the prime factors of 46128 and 46132.

Prime Factorization of 46128

Prime Factorization of 46132

Now multiplying the highest exponent prime factors to calculate the LCM of 46128 and 46132.

LCM(46128,46132) = 2⁴ × 3¹ × 31² × 19¹ × 607¹
LCM(46128,46132) = 531994224