GCF and LCM Calculator Logo

What is the Least Common Multiple of 50378 and 50398?

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 (LCM) of 50378 and 50398 is 1269475222.

LCM(50378,50398) = 1269475222

LCM Calculator and
and

Least Common Multiple of 50378 and 50398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50378 and 50398, than apply into the LCM equation.

GCF(50378,50398) = 2
LCM(50378,50398) = ( 50378 × 50398) / 2
LCM(50378,50398) = 2538950444 / 2
LCM(50378,50398) = 1269475222

Least Common Multiple (LCM) of 50378 and 50398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50378 and 50398. First we will calculate the prime factors of 50378 and 50398.

Prime Factorization of 50378

Prime factors of 50378 are 2, 25189. Prime factorization of 50378 in exponential form is:

50378 = 21 × 251891

Prime Factorization of 50398

Prime factors of 50398 are 2, 113, 223. Prime factorization of 50398 in exponential form is:

50398 = 21 × 1131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 50378 and 50398.

LCM(50378,50398) = 21 × 251891 × 1131 × 2231
LCM(50378,50398) = 1269475222