What is the Least Common Multiple of 50288 and 50302?

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 50288 and 50302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50288 and 50302, than apply into the LCM equation.

GCF(50288,50302) = 14
LCM(50288,50302) = ( 50288 × 50302) / 14
LCM(50288,50302) = 2529586976 / 14
LCM(50288,50302) = 180684784

Least Common Multiple (LCM) of 50288 and 50302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50288 and 50302. First we will calculate the prime factors of 50288 and 50302.

Prime Factorization of 50288

Prime Factorization of 50302

Now multiplying the highest exponent prime factors to calculate the LCM of 50288 and 50302.

LCM(50288,50302) = 2⁴ × 7¹ × 449¹ × 3593¹
LCM(50288,50302) = 180684784