What is the Least Common Multiple of 46512 and 46529?

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 46512 and 46529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46512 and 46529, than apply into the LCM equation.

GCF(46512,46529) = 17
LCM(46512,46529) = ( 46512 × 46529) / 17
LCM(46512,46529) = 2164156848 / 17
LCM(46512,46529) = 127303344

Least Common Multiple (LCM) of 46512 and 46529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46512 and 46529. First we will calculate the prime factors of 46512 and 46529.

Prime Factorization of 46512

Prime Factorization of 46529

Now multiplying the highest exponent prime factors to calculate the LCM of 46512 and 46529.

LCM(46512,46529) = 2⁴ × 3² × 17² × 19¹ × 7¹ × 23¹
LCM(46512,46529) = 127303344