What is the Least Common Multiple of 37838 and 37858?

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 37838 and 37858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37838 and 37858, than apply into the LCM equation.

GCF(37838,37858) = 2
LCM(37838,37858) = ( 37838 × 37858) / 2
LCM(37838,37858) = 1432471004 / 2
LCM(37838,37858) = 716235502

Least Common Multiple (LCM) of 37838 and 37858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37838 and 37858. First we will calculate the prime factors of 37838 and 37858.

Prime Factorization of 37838

Prime Factorization of 37858

Now multiplying the highest exponent prime factors to calculate the LCM of 37838 and 37858.

LCM(37838,37858) = 2¹ × 18919¹ × 23¹ × 823¹
LCM(37838,37858) = 716235502