What is the Least Common Multiple of 46404 and 46412?

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 46404 and 46412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46404 and 46412, than apply into the LCM equation.

GCF(46404,46412) = 4
LCM(46404,46412) = ( 46404 × 46412) / 4
LCM(46404,46412) = 2153702448 / 4
LCM(46404,46412) = 538425612

Least Common Multiple (LCM) of 46404 and 46412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46404 and 46412. First we will calculate the prime factors of 46404 and 46412.

Prime Factorization of 46404

Prime Factorization of 46412

Now multiplying the highest exponent prime factors to calculate the LCM of 46404 and 46412.

LCM(46404,46412) = 2² × 3² × 1289¹ × 41¹ × 283¹
LCM(46404,46412) = 538425612