What is the Least Common Multiple of 36771 and 36777?

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 36771 and 36777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36771 and 36777, than apply into the LCM equation.

GCF(36771,36777) = 3
LCM(36771,36777) = ( 36771 × 36777) / 3
LCM(36771,36777) = 1352327067 / 3
LCM(36771,36777) = 450775689

Least Common Multiple (LCM) of 36771 and 36777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36771 and 36777. First we will calculate the prime factors of 36771 and 36777.

Prime Factorization of 36771

Prime Factorization of 36777

Now multiplying the highest exponent prime factors to calculate the LCM of 36771 and 36777.

LCM(36771,36777) = 3¹ × 7¹ × 17¹ × 103¹ × 13¹ × 23¹ × 41¹
LCM(36771,36777) = 450775689