What is the Least Common Multiple of 46971 and 46989?

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 46971 and 46989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46971 and 46989, than apply into the LCM equation.

GCF(46971,46989) = 9
LCM(46971,46989) = ( 46971 × 46989) / 9
LCM(46971,46989) = 2207120319 / 9
LCM(46971,46989) = 245235591

Least Common Multiple (LCM) of 46971 and 46989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46971 and 46989. First we will calculate the prime factors of 46971 and 46989.

Prime Factorization of 46971

Prime Factorization of 46989

Now multiplying the highest exponent prime factors to calculate the LCM of 46971 and 46989.

LCM(46971,46989) = 3² × 17¹ × 307¹ × 23¹ × 227¹
LCM(46971,46989) = 245235591