What is the Least Common Multiple of 50297 and 50317?

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 50297 and 50317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50297 and 50317, than apply into the LCM equation.

GCF(50297,50317) = 1
LCM(50297,50317) = ( 50297 × 50317) / 1
LCM(50297,50317) = 2530794149 / 1
LCM(50297,50317) = 2530794149

Least Common Multiple (LCM) of 50297 and 50317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50297 and 50317. First we will calculate the prime factors of 50297 and 50317.

Prime Factorization of 50297

Prime Factorization of 50317

Now multiplying the highest exponent prime factors to calculate the LCM of 50297 and 50317.

LCM(50297,50317) = 13¹ × 53¹ × 73¹ × 67¹ × 751¹
LCM(50297,50317) = 2530794149