What is the Least Common Multiple of 32523 and 32541?

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 32541 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 32541, than apply into the LCM equation.

GCF(32523,32541) = 3
LCM(32523,32541) = ( 32523 × 32541) / 3
LCM(32523,32541) = 1058330943 / 3
LCM(32523,32541) = 352776981

Least Common Multiple (LCM) of 32523 and 32541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32523 and 32541. First we will calculate the prime factors of 32523 and 32541.

Prime Factorization of 32523

Prime Factorization of 32541

Now multiplying the highest exponent prime factors to calculate the LCM of 32523 and 32541.

LCM(32523,32541) = 3¹ × 37¹ × 293¹ × 10847¹
LCM(32523,32541) = 352776981