What is the Least Common Multiple of 27525 and 27543?

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 27525 and 27543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27525 and 27543, than apply into the LCM equation.

GCF(27525,27543) = 3
LCM(27525,27543) = ( 27525 × 27543) / 3
LCM(27525,27543) = 758121075 / 3
LCM(27525,27543) = 252707025

Least Common Multiple (LCM) of 27525 and 27543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27525 and 27543. First we will calculate the prime factors of 27525 and 27543.

Prime Factorization of 27525

Prime Factorization of 27543

Now multiplying the highest exponent prime factors to calculate the LCM of 27525 and 27543.

LCM(27525,27543) = 3¹ × 5² × 367¹ × 9181¹
LCM(27525,27543) = 252707025