What is the Least Common Multiple of 46944 and 46959?

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 46959 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 46959, than apply into the LCM equation.

GCF(46944,46959) = 3
LCM(46944,46959) = ( 46944 × 46959) / 3
LCM(46944,46959) = 2204443296 / 3
LCM(46944,46959) = 734814432

Least Common Multiple (LCM) of 46944 and 46959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46944 and 46959. First we will calculate the prime factors of 46944 and 46959.

Prime Factorization of 46944

Prime Factorization of 46959

Now multiplying the highest exponent prime factors to calculate the LCM of 46944 and 46959.

LCM(46944,46959) = 2⁵ × 3² × 163¹ × 11¹ × 1423¹
LCM(46944,46959) = 734814432