What is the Least Common Multiple of 60543 and 60561?

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 60543 and 60561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60543 and 60561, than apply into the LCM equation.

GCF(60543,60561) = 9
LCM(60543,60561) = ( 60543 × 60561) / 9
LCM(60543,60561) = 3666544623 / 9
LCM(60543,60561) = 407393847

Least Common Multiple (LCM) of 60543 and 60561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60543 and 60561. First we will calculate the prime factors of 60543 and 60561.

Prime Factorization of 60543

Prime Factorization of 60561

Now multiplying the highest exponent prime factors to calculate the LCM of 60543 and 60561.

LCM(60543,60561) = 3³ × 7¹ × 31² × 2243¹
LCM(60543,60561) = 407393847