What is the Least Common Multiple of 36530 and 36543?

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 36530 and 36543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36530 and 36543, than apply into the LCM equation.

GCF(36530,36543) = 13
LCM(36530,36543) = ( 36530 × 36543) / 13
LCM(36530,36543) = 1334915790 / 13
LCM(36530,36543) = 102685830

Least Common Multiple (LCM) of 36530 and 36543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36530 and 36543. First we will calculate the prime factors of 36530 and 36543.

Prime Factorization of 36530

Prime Factorization of 36543

Now multiplying the highest exponent prime factors to calculate the LCM of 36530 and 36543.

LCM(36530,36543) = 2¹ × 5¹ × 13¹ × 281¹ × 3¹ × 937¹
LCM(36530,36543) = 102685830