GCF and LCM Calculator Logo

What is the Least Common Multiple of 50365 and 50378?

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 50365 and 50378 is 2537287970.

LCM(50365,50378) = 2537287970

LCM Calculator and
and

Least Common Multiple of 50365 and 50378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50365 and 50378, than apply into the LCM equation.

GCF(50365,50378) = 1
LCM(50365,50378) = ( 50365 × 50378) / 1
LCM(50365,50378) = 2537287970 / 1
LCM(50365,50378) = 2537287970

Least Common Multiple (LCM) of 50365 and 50378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50365 and 50378. First we will calculate the prime factors of 50365 and 50378.

Prime Factorization of 50365

Prime factors of 50365 are 5, 7, 1439. Prime factorization of 50365 in exponential form is:

50365 = 51 × 71 × 14391

Prime Factorization of 50378

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

50378 = 21 × 251891

Now multiplying the highest exponent prime factors to calculate the LCM of 50365 and 50378.

LCM(50365,50378) = 51 × 71 × 14391 × 21 × 251891
LCM(50365,50378) = 2537287970