What is the Least Common Multiple of 50432 and 50452?

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 50432 and 50452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50432 and 50452, than apply into the LCM equation.

GCF(50432,50452) = 4
LCM(50432,50452) = ( 50432 × 50452) / 4
LCM(50432,50452) = 2544395264 / 4
LCM(50432,50452) = 636098816

Least Common Multiple (LCM) of 50432 and 50452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50432 and 50452. First we will calculate the prime factors of 50432 and 50452.

Prime Factorization of 50432

Prime Factorization of 50452

Now multiplying the highest exponent prime factors to calculate the LCM of 50432 and 50452.

LCM(50432,50452) = 2⁸ × 197¹ × 12613¹
LCM(50432,50452) = 636098816