What is the Least Common Multiple of 57525 and 57543?

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 57525 and 57543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57525 and 57543, than apply into the LCM equation.

GCF(57525,57543) = 3
LCM(57525,57543) = ( 57525 × 57543) / 3
LCM(57525,57543) = 3310161075 / 3
LCM(57525,57543) = 1103387025

Least Common Multiple (LCM) of 57525 and 57543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57525 and 57543. First we will calculate the prime factors of 57525 and 57543.

Prime Factorization of 57525

Prime Factorization of 57543

Now multiplying the highest exponent prime factors to calculate the LCM of 57525 and 57543.

LCM(57525,57543) = 3¹ × 5² × 13¹ × 59¹ × 19181¹
LCM(57525,57543) = 1103387025