What is the Least Common Multiple of 58378 and 58388?

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 58378 and 58388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58378 and 58388, than apply into the LCM equation.

GCF(58378,58388) = 2
LCM(58378,58388) = ( 58378 × 58388) / 2
LCM(58378,58388) = 3408574664 / 2
LCM(58378,58388) = 1704287332

Least Common Multiple (LCM) of 58378 and 58388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58378 and 58388. First we will calculate the prime factors of 58378 and 58388.

Prime Factorization of 58378

Prime Factorization of 58388

Now multiplying the highest exponent prime factors to calculate the LCM of 58378 and 58388.

LCM(58378,58388) = 2² × 17² × 101¹ × 11¹ × 1327¹
LCM(58378,58388) = 1704287332