What is the Least Common Multiple of 36753 and 36771?

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 36753 and 36771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36753 and 36771, than apply into the LCM equation.

GCF(36753,36771) = 3
LCM(36753,36771) = ( 36753 × 36771) / 3
LCM(36753,36771) = 1351444563 / 3
LCM(36753,36771) = 450481521

Least Common Multiple (LCM) of 36753 and 36771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36753 and 36771. First we will calculate the prime factors of 36753 and 36771.

Prime Factorization of 36753

Prime Factorization of 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 36753 and 36771.

LCM(36753,36771) = 3¹ × 12251¹ × 7¹ × 17¹ × 103¹
LCM(36753,36771) = 450481521