What is the Least Common Multiple of 50269 and 50285?

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 50269 and 50285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50269 and 50285, than apply into the LCM equation.

GCF(50269,50285) = 1
LCM(50269,50285) = ( 50269 × 50285) / 1
LCM(50269,50285) = 2527776665 / 1
LCM(50269,50285) = 2527776665

Least Common Multiple (LCM) of 50269 and 50285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50269 and 50285. First we will calculate the prime factors of 50269 and 50285.

Prime Factorization of 50269

Prime Factorization of 50285

Now multiplying the highest exponent prime factors to calculate the LCM of 50269 and 50285.

LCM(50269,50285) = 17¹ × 2957¹ × 5¹ × 89¹ × 113¹
LCM(50269,50285) = 2527776665