What is the Least Common Multiple of 50230 and 50249?

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 50230 and 50249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50230 and 50249, than apply into the LCM equation.

GCF(50230,50249) = 1
LCM(50230,50249) = ( 50230 × 50249) / 1
LCM(50230,50249) = 2524007270 / 1
LCM(50230,50249) = 2524007270

Least Common Multiple (LCM) of 50230 and 50249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50230 and 50249. First we will calculate the prime factors of 50230 and 50249.

Prime Factorization of 50230

Prime Factorization of 50249

Now multiplying the highest exponent prime factors to calculate the LCM of 50230 and 50249.

LCM(50230,50249) = 2¹ × 5¹ × 5023¹ × 109¹ × 461¹
LCM(50230,50249) = 2524007270