What is the Least Common Multiple of 39150 and 39158?

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 39150 and 39158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39150 and 39158, than apply into the LCM equation.

GCF(39150,39158) = 2
LCM(39150,39158) = ( 39150 × 39158) / 2
LCM(39150,39158) = 1533035700 / 2
LCM(39150,39158) = 766517850

Least Common Multiple (LCM) of 39150 and 39158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39150 and 39158. First we will calculate the prime factors of 39150 and 39158.

Prime Factorization of 39150

Prime Factorization of 39158

Now multiplying the highest exponent prime factors to calculate the LCM of 39150 and 39158.

LCM(39150,39158) = 2¹ × 3³ × 5² × 29¹ × 7¹ × 2797¹
LCM(39150,39158) = 766517850