What is the Least Common Multiple of 37862 and 37878?

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 37862 and 37878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37862 and 37878, than apply into the LCM equation.

GCF(37862,37878) = 2
LCM(37862,37878) = ( 37862 × 37878) / 2
LCM(37862,37878) = 1434136836 / 2
LCM(37862,37878) = 717068418

Least Common Multiple (LCM) of 37862 and 37878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37862 and 37878. First we will calculate the prime factors of 37862 and 37878.

Prime Factorization of 37862

Prime Factorization of 37878

Now multiplying the highest exponent prime factors to calculate the LCM of 37862 and 37878.

LCM(37862,37878) = 2¹ × 11¹ × 1721¹ × 3¹ × 59¹ × 107¹
LCM(37862,37878) = 717068418