What is the Least Common Multiple of 37878 and 37894?

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 37878 and 37894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37878 and 37894, than apply into the LCM equation.

GCF(37878,37894) = 2
LCM(37878,37894) = ( 37878 × 37894) / 2
LCM(37878,37894) = 1435348932 / 2
LCM(37878,37894) = 717674466

Least Common Multiple (LCM) of 37878 and 37894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37878 and 37894. First we will calculate the prime factors of 37878 and 37894.

Prime Factorization of 37878

Prime Factorization of 37894

Now multiplying the highest exponent prime factors to calculate the LCM of 37878 and 37894.

LCM(37878,37894) = 2¹ × 3¹ × 59¹ × 107¹ × 18947¹
LCM(37878,37894) = 717674466