What is the Least Common Multiple of 46032 and 46044?

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 46032 and 46044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46032 and 46044, than apply into the LCM equation.

GCF(46032,46044) = 12
LCM(46032,46044) = ( 46032 × 46044) / 12
LCM(46032,46044) = 2119497408 / 12
LCM(46032,46044) = 176624784

Least Common Multiple (LCM) of 46032 and 46044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46032 and 46044. First we will calculate the prime factors of 46032 and 46044.

Prime Factorization of 46032

Prime Factorization of 46044

Now multiplying the highest exponent prime factors to calculate the LCM of 46032 and 46044.

LCM(46032,46044) = 2⁴ × 3² × 7¹ × 137¹ × 1279¹
LCM(46032,46044) = 176624784