What is the Least Common Multiple of 46554 and 46572?

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 46554 and 46572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46554 and 46572, than apply into the LCM equation.

GCF(46554,46572) = 6
LCM(46554,46572) = ( 46554 × 46572) / 6
LCM(46554,46572) = 2168112888 / 6
LCM(46554,46572) = 361352148

Least Common Multiple (LCM) of 46554 and 46572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46554 and 46572. First we will calculate the prime factors of 46554 and 46572.

Prime Factorization of 46554

Prime Factorization of 46572

Now multiplying the highest exponent prime factors to calculate the LCM of 46554 and 46572.

LCM(46554,46572) = 2² × 3¹ × 7759¹ × 3881¹
LCM(46554,46572) = 361352148