What is the Least Common Multiple of 46047 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 46047 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 46047 and 46056, than apply into the LCM equation.

GCF(46047,46056) = 3
LCM(46047,46056) = ( 46047 × 46056) / 3
LCM(46047,46056) = 2120740632 / 3
LCM(46047,46056) = 706913544

Least Common Multiple (LCM) of 46047 and 46056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46047 and 46056. First we will calculate the prime factors of 46047 and 46056.

Prime Factorization of 46047

Prime Factorization of 46056

Now multiplying the highest exponent prime factors to calculate the LCM of 46047 and 46056.

LCM(46047,46056) = 3¹ × 15349¹ × 2³ × 19¹ × 101¹
LCM(46047,46056) = 706913544