What is the Least Common Multiple of 46512 and 46527?

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 46527 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 46527, than apply into the LCM equation.

GCF(46512,46527) = 3
LCM(46512,46527) = ( 46512 × 46527) / 3
LCM(46512,46527) = 2164063824 / 3
LCM(46512,46527) = 721354608

Least Common Multiple (LCM) of 46512 and 46527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46512 and 46527. First we will calculate the prime factors of 46512 and 46527.

Prime Factorization of 46512

Prime Factorization of 46527

Now multiplying the highest exponent prime factors to calculate the LCM of 46512 and 46527.

LCM(46512,46527) = 2⁴ × 3² × 17¹ × 19¹ × 13¹ × 1193¹
LCM(46512,46527) = 721354608