What is the Least Common Multiple of 50798 and 50818?

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 50798 and 50818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50798 and 50818, than apply into the LCM equation.

GCF(50798,50818) = 2
LCM(50798,50818) = ( 50798 × 50818) / 2
LCM(50798,50818) = 2581452764 / 2
LCM(50798,50818) = 1290726382

Least Common Multiple (LCM) of 50798 and 50818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50798 and 50818. First we will calculate the prime factors of 50798 and 50818.

Prime Factorization of 50798

Prime Factorization of 50818

Now multiplying the highest exponent prime factors to calculate the LCM of 50798 and 50818.

LCM(50798,50818) = 2¹ × 11¹ × 2309¹ × 25409¹
LCM(50798,50818) = 1290726382