What is the Least Common Multiple of 60525 and 60543?

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 60525 and 60543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60525 and 60543, than apply into the LCM equation.

GCF(60525,60543) = 9
LCM(60525,60543) = ( 60525 × 60543) / 9
LCM(60525,60543) = 3664365075 / 9
LCM(60525,60543) = 407151675

Least Common Multiple (LCM) of 60525 and 60543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60525 and 60543. First we will calculate the prime factors of 60525 and 60543.

Prime Factorization of 60525

Prime Factorization of 60543

Now multiplying the highest exponent prime factors to calculate the LCM of 60525 and 60543.

LCM(60525,60543) = 3² × 5² × 269¹ × 7¹ × 31²
LCM(60525,60543) = 407151675