What is the Least Common Multiple of 10150 and 10165?

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 10150 and 10165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10150 and 10165, than apply into the LCM equation.

GCF(10150,10165) = 5
LCM(10150,10165) = ( 10150 × 10165) / 5
LCM(10150,10165) = 103174750 / 5
LCM(10150,10165) = 20634950

Least Common Multiple (LCM) of 10150 and 10165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10150 and 10165. First we will calculate the prime factors of 10150 and 10165.

Prime Factorization of 10150

Prime Factorization of 10165

Now multiplying the highest exponent prime factors to calculate the LCM of 10150 and 10165.

LCM(10150,10165) = 2¹ × 5² × 7¹ × 29¹ × 19¹ × 107¹
LCM(10150,10165) = 20634950