What is the Least Common Multiple of 50252 and 50269?

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 50252 and 50269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50252 and 50269, than apply into the LCM equation.

GCF(50252,50269) = 17
LCM(50252,50269) = ( 50252 × 50269) / 17
LCM(50252,50269) = 2526117788 / 17
LCM(50252,50269) = 148595164

Least Common Multiple (LCM) of 50252 and 50269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50252 and 50269. First we will calculate the prime factors of 50252 and 50269.

Prime Factorization of 50252

Prime Factorization of 50269

Now multiplying the highest exponent prime factors to calculate the LCM of 50252 and 50269.

LCM(50252,50269) = 2² × 17¹ × 739¹ × 2957¹
LCM(50252,50269) = 148595164