What is the Least Common Multiple of 66525 and 66543?

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 66525 and 66543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66525 and 66543, than apply into the LCM equation.

GCF(66525,66543) = 3
LCM(66525,66543) = ( 66525 × 66543) / 3
LCM(66525,66543) = 4426773075 / 3
LCM(66525,66543) = 1475591025

Least Common Multiple (LCM) of 66525 and 66543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66525 and 66543. First we will calculate the prime factors of 66525 and 66543.

Prime Factorization of 66525

Prime Factorization of 66543

Now multiplying the highest exponent prime factors to calculate the LCM of 66525 and 66543.

LCM(66525,66543) = 3¹ × 5² × 887¹ × 41¹ × 541¹
LCM(66525,66543) = 1475591025