What is the Least Common Multiple of 50288 and 50304?

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 50304 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 50304, than apply into the LCM equation.

GCF(50288,50304) = 16
LCM(50288,50304) = ( 50288 × 50304) / 16
LCM(50288,50304) = 2529687552 / 16
LCM(50288,50304) = 158105472

Least Common Multiple (LCM) of 50288 and 50304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50288 and 50304. First we will calculate the prime factors of 50288 and 50304.

Prime Factorization of 50288

Prime Factorization of 50304

Now multiplying the highest exponent prime factors to calculate the LCM of 50288 and 50304.

LCM(50288,50304) = 2⁷ × 7¹ × 449¹ × 3¹ × 131¹
LCM(50288,50304) = 158105472