What is the Least Common Multiple of 50704 and 50722?

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 50704 and 50722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50704 and 50722, than apply into the LCM equation.

GCF(50704,50722) = 2
LCM(50704,50722) = ( 50704 × 50722) / 2
LCM(50704,50722) = 2571808288 / 2
LCM(50704,50722) = 1285904144

Least Common Multiple (LCM) of 50704 and 50722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50704 and 50722. First we will calculate the prime factors of 50704 and 50722.

Prime Factorization of 50704

Prime Factorization of 50722

Now multiplying the highest exponent prime factors to calculate the LCM of 50704 and 50722.

LCM(50704,50722) = 2⁴ × 3169¹ × 7¹ × 3623¹
LCM(50704,50722) = 1285904144