What is the Least Common Multiple of 4150 and 4165?

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 4150 and 4165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4150 and 4165, than apply into the LCM equation.

GCF(4150,4165) = 5
LCM(4150,4165) = ( 4150 × 4165) / 5
LCM(4150,4165) = 17284750 / 5
LCM(4150,4165) = 3456950

Least Common Multiple (LCM) of 4150 and 4165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4150 and 4165. First we will calculate the prime factors of 4150 and 4165.

Prime Factorization of 4150

Prime Factorization of 4165

Now multiplying the highest exponent prime factors to calculate the LCM of 4150 and 4165.

LCM(4150,4165) = 2¹ × 5² × 83¹ × 7² × 17¹
LCM(4150,4165) = 3456950