What is the Least Common Multiple of 46566 and 46584?

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 46566 and 46584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46566 and 46584, than apply into the LCM equation.

GCF(46566,46584) = 18
LCM(46566,46584) = ( 46566 × 46584) / 18
LCM(46566,46584) = 2169230544 / 18
LCM(46566,46584) = 120512808

Least Common Multiple (LCM) of 46566 and 46584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46566 and 46584. First we will calculate the prime factors of 46566 and 46584.

Prime Factorization of 46566

Prime Factorization of 46584

Now multiplying the highest exponent prime factors to calculate the LCM of 46566 and 46584.

LCM(46566,46584) = 2³ × 3² × 13¹ × 199¹ × 647¹
LCM(46566,46584) = 120512808