What is the Least Common Multiple of 46416 and 46428?

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 46428 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 46428, than apply into the LCM equation.

GCF(46416,46428) = 12
LCM(46416,46428) = ( 46416 × 46428) / 12
LCM(46416,46428) = 2155002048 / 12
LCM(46416,46428) = 179583504

Least Common Multiple (LCM) of 46416 and 46428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46416 and 46428. First we will calculate the prime factors of 46416 and 46428.

Prime Factorization of 46416

Prime Factorization of 46428

Now multiplying the highest exponent prime factors to calculate the LCM of 46416 and 46428.

LCM(46416,46428) = 2⁴ × 3¹ × 967¹ × 53¹ × 73¹
LCM(46416,46428) = 179583504