What is the Least Common Multiple of 50674 and 50682?

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 50674 and 50682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50674 and 50682, than apply into the LCM equation.

GCF(50674,50682) = 2
LCM(50674,50682) = ( 50674 × 50682) / 2
LCM(50674,50682) = 2568259668 / 2
LCM(50674,50682) = 1284129834

Least Common Multiple (LCM) of 50674 and 50682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50674 and 50682. First we will calculate the prime factors of 50674 and 50682.

Prime Factorization of 50674

Prime Factorization of 50682

Now multiplying the highest exponent prime factors to calculate the LCM of 50674 and 50682.

LCM(50674,50682) = 2¹ × 13¹ × 1949¹ × 3¹ × 8447¹
LCM(50674,50682) = 1284129834