What is the Least Common Multiple of 46044 and 46056?

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 46044 and 46056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46044 and 46056, than apply into the LCM equation.

GCF(46044,46056) = 12
LCM(46044,46056) = ( 46044 × 46056) / 12
LCM(46044,46056) = 2120602464 / 12
LCM(46044,46056) = 176716872

Least Common Multiple (LCM) of 46044 and 46056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46044 and 46056. First we will calculate the prime factors of 46044 and 46056.

Prime Factorization of 46044

Prime Factorization of 46056

Now multiplying the highest exponent prime factors to calculate the LCM of 46044 and 46056.

LCM(46044,46056) = 2³ × 3² × 1279¹ × 19¹ × 101¹
LCM(46044,46056) = 176716872