What is the Least Common Multiple of 46989 and 46996?

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 46989 and 46996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46989 and 46996, than apply into the LCM equation.

GCF(46989,46996) = 1
LCM(46989,46996) = ( 46989 × 46996) / 1
LCM(46989,46996) = 2208295044 / 1
LCM(46989,46996) = 2208295044

Least Common Multiple (LCM) of 46989 and 46996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46989 and 46996. First we will calculate the prime factors of 46989 and 46996.

Prime Factorization of 46989

Prime Factorization of 46996

Now multiplying the highest exponent prime factors to calculate the LCM of 46989 and 46996.

LCM(46989,46996) = 3² × 23¹ × 227¹ × 2² × 31¹ × 379¹
LCM(46989,46996) = 2208295044