What is the Least Common Multiple of 50145 and 50165?

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 50145 and 50165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50145 and 50165, than apply into the LCM equation.

GCF(50145,50165) = 5
LCM(50145,50165) = ( 50145 × 50165) / 5
LCM(50145,50165) = 2515523925 / 5
LCM(50145,50165) = 503104785

Least Common Multiple (LCM) of 50145 and 50165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50145 and 50165. First we will calculate the prime factors of 50145 and 50165.

Prime Factorization of 50145

Prime Factorization of 50165

Now multiplying the highest exponent prime factors to calculate the LCM of 50145 and 50165.

LCM(50145,50165) = 3¹ × 5¹ × 3343¹ × 79¹ × 127¹
LCM(50145,50165) = 503104785