What is the Least Common Multiple of 50689 and 50701?

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 50689 and 50701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50689 and 50701, than apply into the LCM equation.

GCF(50689,50701) = 1
LCM(50689,50701) = ( 50689 × 50701) / 1
LCM(50689,50701) = 2569982989 / 1
LCM(50689,50701) = 2569982989

Least Common Multiple (LCM) of 50689 and 50701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50689 and 50701. First we will calculate the prime factors of 50689 and 50701.

Prime Factorization of 50689

Prime Factorization of 50701

Now multiplying the highest exponent prime factors to calculate the LCM of 50689 and 50701.

LCM(50689,50701) = 173¹ × 293¹ × 7¹ × 7243¹
LCM(50689,50701) = 2569982989