What is the Least Common Multiple of 46416 and 46421?

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 46416 and 46421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46416 and 46421, than apply into the LCM equation.

GCF(46416,46421) = 1
LCM(46416,46421) = ( 46416 × 46421) / 1
LCM(46416,46421) = 2154677136 / 1
LCM(46416,46421) = 2154677136

Least Common Multiple (LCM) of 46416 and 46421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46416 and 46421. First we will calculate the prime factors of 46416 and 46421.

Prime Factorization of 46416

Prime Factorization of 46421

Now multiplying the highest exponent prime factors to calculate the LCM of 46416 and 46421.

LCM(46416,46421) = 2⁴ × 3¹ × 967¹ × 61¹ × 761¹
LCM(46416,46421) = 2154677136