What is the Least Common Multiple of 93525 and 93543?

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 93525 and 93543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93525 and 93543, than apply into the LCM equation.

GCF(93525,93543) = 3
LCM(93525,93543) = ( 93525 × 93543) / 3
LCM(93525,93543) = 8748609075 / 3
LCM(93525,93543) = 2916203025

Least Common Multiple (LCM) of 93525 and 93543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93525 and 93543. First we will calculate the prime factors of 93525 and 93543.

Prime Factorization of 93525

Prime Factorization of 93543

Now multiplying the highest exponent prime factors to calculate the LCM of 93525 and 93543.

LCM(93525,93543) = 3¹ × 5² × 29¹ × 43¹ × 31181¹
LCM(93525,93543) = 2916203025