What is the Least Common Multiple of 37839 and 37855?

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 37839 and 37855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37839 and 37855, than apply into the LCM equation.

GCF(37839,37855) = 1
LCM(37839,37855) = ( 37839 × 37855) / 1
LCM(37839,37855) = 1432395345 / 1
LCM(37839,37855) = 1432395345

Least Common Multiple (LCM) of 37839 and 37855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37839 and 37855. First we will calculate the prime factors of 37839 and 37855.

Prime Factorization of 37839

Prime Factorization of 37855

Now multiplying the highest exponent prime factors to calculate the LCM of 37839 and 37855.

LCM(37839,37855) = 3¹ × 12613¹ × 5¹ × 67¹ × 113¹
LCM(37839,37855) = 1432395345