What is the Least Common Multiple of 38850 and 38857?

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 38850 and 38857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38850 and 38857, than apply into the LCM equation.

GCF(38850,38857) = 7
LCM(38850,38857) = ( 38850 × 38857) / 7
LCM(38850,38857) = 1509594450 / 7
LCM(38850,38857) = 215656350

Least Common Multiple (LCM) of 38850 and 38857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38850 and 38857. First we will calculate the prime factors of 38850 and 38857.

Prime Factorization of 38850

Prime Factorization of 38857

Now multiplying the highest exponent prime factors to calculate the LCM of 38850 and 38857.

LCM(38850,38857) = 2¹ × 3¹ × 5² × 7² × 37¹ × 13¹ × 61¹
LCM(38850,38857) = 215656350