What is the Least Common Multiple of 46552 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 46552 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 46552 and 46572, than apply into the LCM equation.

GCF(46552,46572) = 4
LCM(46552,46572) = ( 46552 × 46572) / 4
LCM(46552,46572) = 2168019744 / 4
LCM(46552,46572) = 542004936

Least Common Multiple (LCM) of 46552 and 46572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46552 and 46572. First we will calculate the prime factors of 46552 and 46572.

Prime Factorization of 46552

Prime Factorization of 46572

Now multiplying the highest exponent prime factors to calculate the LCM of 46552 and 46572.

LCM(46552,46572) = 2³ × 11¹ × 23² × 3¹ × 3881¹
LCM(46552,46572) = 542004936