What is the Least Common Multiple of 37293 and 37311?

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 37293 and 37311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37293 and 37311, than apply into the LCM equation.

GCF(37293,37311) = 3
LCM(37293,37311) = ( 37293 × 37311) / 3
LCM(37293,37311) = 1391439123 / 3
LCM(37293,37311) = 463813041

Least Common Multiple (LCM) of 37293 and 37311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37293 and 37311. First we will calculate the prime factors of 37293 and 37311.

Prime Factorization of 37293

Prime Factorization of 37311

Now multiplying the highest exponent prime factors to calculate the LCM of 37293 and 37311.

LCM(37293,37311) = 3¹ × 31¹ × 401¹ × 12437¹
LCM(37293,37311) = 463813041