What is the Least Common Multiple of 50498 and 50512?

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 50498 and 50512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50498 and 50512, than apply into the LCM equation.

GCF(50498,50512) = 14
LCM(50498,50512) = ( 50498 × 50512) / 14
LCM(50498,50512) = 2550754976 / 14
LCM(50498,50512) = 182196784

Least Common Multiple (LCM) of 50498 and 50512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50498 and 50512. First we will calculate the prime factors of 50498 and 50512.

Prime Factorization of 50498

Prime Factorization of 50512

Now multiplying the highest exponent prime factors to calculate the LCM of 50498 and 50512.

LCM(50498,50512) = 2⁴ × 7¹ × 3607¹ × 11¹ × 41¹
LCM(50498,50512) = 182196784