What is the Least Common Multiple of 52150 and 52165?

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 52150 and 52165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52150 and 52165, than apply into the LCM equation.

GCF(52150,52165) = 5
LCM(52150,52165) = ( 52150 × 52165) / 5
LCM(52150,52165) = 2720404750 / 5
LCM(52150,52165) = 544080950

Least Common Multiple (LCM) of 52150 and 52165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52150 and 52165. First we will calculate the prime factors of 52150 and 52165.

Prime Factorization of 52150

Prime Factorization of 52165

Now multiplying the highest exponent prime factors to calculate the LCM of 52150 and 52165.

LCM(52150,52165) = 2¹ × 5² × 7¹ × 149¹ × 10433¹
LCM(52150,52165) = 544080950