What is the Least Common Multiple of 50714 and 50731?

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 50714 and 50731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50714 and 50731, than apply into the LCM equation.

GCF(50714,50731) = 1
LCM(50714,50731) = ( 50714 × 50731) / 1
LCM(50714,50731) = 2572771934 / 1
LCM(50714,50731) = 2572771934

Least Common Multiple (LCM) of 50714 and 50731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50714 and 50731. First we will calculate the prime factors of 50714 and 50731.

Prime Factorization of 50714

Prime Factorization of 50731

Now multiplying the highest exponent prime factors to calculate the LCM of 50714 and 50731.

LCM(50714,50731) = 2¹ × 25357¹ × 97¹ × 523¹
LCM(50714,50731) = 2572771934