What is the Least Common Multiple of 50412 and 50431?

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 50412 and 50431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50412 and 50431, than apply into the LCM equation.

GCF(50412,50431) = 1
LCM(50412,50431) = ( 50412 × 50431) / 1
LCM(50412,50431) = 2542327572 / 1
LCM(50412,50431) = 2542327572

Least Common Multiple (LCM) of 50412 and 50431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50412 and 50431. First we will calculate the prime factors of 50412 and 50431.

Prime Factorization of 50412

Prime Factorization of 50431

Now multiplying the highest exponent prime factors to calculate the LCM of 50412 and 50431.

LCM(50412,50431) = 2² × 3¹ × 4201¹ × 29¹ × 37¹ × 47¹
LCM(50412,50431) = 2542327572