What is the Least Common Multiple of 50288 and 50301?

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 50301 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 50301, than apply into the LCM equation.

GCF(50288,50301) = 1
LCM(50288,50301) = ( 50288 × 50301) / 1
LCM(50288,50301) = 2529536688 / 1
LCM(50288,50301) = 2529536688

Least Common Multiple (LCM) of 50288 and 50301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50288 and 50301. First we will calculate the prime factors of 50288 and 50301.

Prime Factorization of 50288

Prime Factorization of 50301

Now multiplying the highest exponent prime factors to calculate the LCM of 50288 and 50301.

LCM(50288,50301) = 2⁴ × 7¹ × 449¹ × 3⁷ × 23¹
LCM(50288,50301) = 2529536688