What is the Least Common Multiple of 37839 and 37848?

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 37848 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 37848, than apply into the LCM equation.

GCF(37839,37848) = 3
LCM(37839,37848) = ( 37839 × 37848) / 3
LCM(37839,37848) = 1432130472 / 3
LCM(37839,37848) = 477376824

Least Common Multiple (LCM) of 37839 and 37848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37839 and 37848. First we will calculate the prime factors of 37839 and 37848.

Prime Factorization of 37839

Prime Factorization of 37848

Now multiplying the highest exponent prime factors to calculate the LCM of 37839 and 37848.

LCM(37839,37848) = 3¹ × 12613¹ × 2³ × 19¹ × 83¹
LCM(37839,37848) = 477376824