What is the Least Common Multiple of 32523 and 32532?

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 32523 and 32532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32523 and 32532, than apply into the LCM equation.

GCF(32523,32532) = 3
LCM(32523,32532) = ( 32523 × 32532) / 3
LCM(32523,32532) = 1058038236 / 3
LCM(32523,32532) = 352679412

Least Common Multiple (LCM) of 32523 and 32532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32523 and 32532. First we will calculate the prime factors of 32523 and 32532.

Prime Factorization of 32523

Prime Factorization of 32532

Now multiplying the highest exponent prime factors to calculate the LCM of 32523 and 32532.

LCM(32523,32532) = 3¹ × 37¹ × 293¹ × 2² × 2711¹
LCM(32523,32532) = 352679412