What is the Least Common Multiple of 50274 and 50283?

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 50274 and 50283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50274 and 50283, than apply into the LCM equation.

GCF(50274,50283) = 9
LCM(50274,50283) = ( 50274 × 50283) / 9
LCM(50274,50283) = 2527927542 / 9
LCM(50274,50283) = 280880838

Least Common Multiple (LCM) of 50274 and 50283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50274 and 50283. First we will calculate the prime factors of 50274 and 50283.

Prime Factorization of 50274

Prime Factorization of 50283

Now multiplying the highest exponent prime factors to calculate the LCM of 50274 and 50283.

LCM(50274,50283) = 2¹ × 3³ × 7² × 19¹ × 37¹ × 151¹
LCM(50274,50283) = 280880838