What is the Least Common Multiple of 36543 and 36556?

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 36543 and 36556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36543 and 36556, than apply into the LCM equation.

GCF(36543,36556) = 13
LCM(36543,36556) = ( 36543 × 36556) / 13
LCM(36543,36556) = 1335865908 / 13
LCM(36543,36556) = 102758916

Least Common Multiple (LCM) of 36543 and 36556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36543 and 36556. First we will calculate the prime factors of 36543 and 36556.

Prime Factorization of 36543

Prime Factorization of 36556

Now multiplying the highest exponent prime factors to calculate the LCM of 36543 and 36556.

LCM(36543,36556) = 3¹ × 13¹ × 937¹ × 2² × 19¹ × 37¹
LCM(36543,36556) = 102758916