What is the Least Common Multiple of 46538 and 46552?

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 46538 and 46552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46538 and 46552, than apply into the LCM equation.

GCF(46538,46552) = 2
LCM(46538,46552) = ( 46538 × 46552) / 2
LCM(46538,46552) = 2166436976 / 2
LCM(46538,46552) = 1083218488

Least Common Multiple (LCM) of 46538 and 46552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46538 and 46552. First we will calculate the prime factors of 46538 and 46552.

Prime Factorization of 46538

Prime Factorization of 46552

Now multiplying the highest exponent prime factors to calculate the LCM of 46538 and 46552.

LCM(46538,46552) = 2³ × 23269¹ × 11¹ × 23²
LCM(46538,46552) = 1083218488