What is the Least Common Multiple of 46944 and 46962?

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 46944 and 46962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46944 and 46962, than apply into the LCM equation.

GCF(46944,46962) = 18
LCM(46944,46962) = ( 46944 × 46962) / 18
LCM(46944,46962) = 2204584128 / 18
LCM(46944,46962) = 122476896

Least Common Multiple (LCM) of 46944 and 46962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46944 and 46962. First we will calculate the prime factors of 46944 and 46962.

Prime Factorization of 46944

Prime Factorization of 46962

Now multiplying the highest exponent prime factors to calculate the LCM of 46944 and 46962.

LCM(46944,46962) = 2⁵ × 3² × 163¹ × 2609¹
LCM(46944,46962) = 122476896