What is the Least Common Multiple of 9537 and 9543?

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 9537 and 9543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9537 and 9543, than apply into the LCM equation.

GCF(9537,9543) = 3
LCM(9537,9543) = ( 9537 × 9543) / 3
LCM(9537,9543) = 91011591 / 3
LCM(9537,9543) = 30337197

Least Common Multiple (LCM) of 9537 and 9543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9537 and 9543. First we will calculate the prime factors of 9537 and 9543.

Prime Factorization of 9537

Prime Factorization of 9543

Now multiplying the highest exponent prime factors to calculate the LCM of 9537 and 9543.

LCM(9537,9543) = 3¹ × 11¹ × 17² × 3181¹
LCM(9537,9543) = 30337197