What is the Least Common Multiple of 37845 and 37856?

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 37845 and 37856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37845 and 37856, than apply into the LCM equation.

GCF(37845,37856) = 1
LCM(37845,37856) = ( 37845 × 37856) / 1
LCM(37845,37856) = 1432660320 / 1
LCM(37845,37856) = 1432660320

Least Common Multiple (LCM) of 37845 and 37856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37845 and 37856. First we will calculate the prime factors of 37845 and 37856.

Prime Factorization of 37845

Prime Factorization of 37856

Now multiplying the highest exponent prime factors to calculate the LCM of 37845 and 37856.

LCM(37845,37856) = 3² × 5¹ × 29² × 2⁵ × 7¹ × 13²
LCM(37845,37856) = 1432660320