What is the Least Common Multiple of 50919 and 50935?

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 50919 and 50935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50919 and 50935, than apply into the LCM equation.

GCF(50919,50935) = 1
LCM(50919,50935) = ( 50919 × 50935) / 1
LCM(50919,50935) = 2593559265 / 1
LCM(50919,50935) = 2593559265

Least Common Multiple (LCM) of 50919 and 50935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50919 and 50935. First we will calculate the prime factors of 50919 and 50935.

Prime Factorization of 50919

Prime Factorization of 50935

Now multiplying the highest exponent prime factors to calculate the LCM of 50919 and 50935.

LCM(50919,50935) = 3¹ × 11¹ × 1543¹ × 5¹ × 61¹ × 167¹
LCM(50919,50935) = 2593559265