What is the Least Common Multiple of 50254 and 50270?

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 50254 and 50270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50254 and 50270, than apply into the LCM equation.

GCF(50254,50270) = 2
LCM(50254,50270) = ( 50254 × 50270) / 2
LCM(50254,50270) = 2526268580 / 2
LCM(50254,50270) = 1263134290

Least Common Multiple (LCM) of 50254 and 50270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50254 and 50270. First we will calculate the prime factors of 50254 and 50270.

Prime Factorization of 50254

Prime Factorization of 50270

Now multiplying the highest exponent prime factors to calculate the LCM of 50254 and 50270.

LCM(50254,50270) = 2¹ × 25127¹ × 5¹ × 11¹ × 457¹
LCM(50254,50270) = 1263134290