What is the Least Common Multiple of 32512 and 32523?

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 32512 and 32523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32512 and 32523, than apply into the LCM equation.

GCF(32512,32523) = 1
LCM(32512,32523) = ( 32512 × 32523) / 1
LCM(32512,32523) = 1057387776 / 1
LCM(32512,32523) = 1057387776

Least Common Multiple (LCM) of 32512 and 32523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32512 and 32523. First we will calculate the prime factors of 32512 and 32523.

Prime Factorization of 32512

Prime Factorization of 32523

Now multiplying the highest exponent prime factors to calculate the LCM of 32512 and 32523.

LCM(32512,32523) = 2⁸ × 127¹ × 3¹ × 37¹ × 293¹
LCM(32512,32523) = 1057387776