What is the Least Common Multiple of 58378 and 58396?

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 58396 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 58396, than apply into the LCM equation.

GCF(58378,58396) = 2
LCM(58378,58396) = ( 58378 × 58396) / 2
LCM(58378,58396) = 3409041688 / 2
LCM(58378,58396) = 1704520844

Least Common Multiple (LCM) of 58378 and 58396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58378 and 58396. First we will calculate the prime factors of 58378 and 58396.

Prime Factorization of 58378

Prime Factorization of 58396

Now multiplying the highest exponent prime factors to calculate the LCM of 58378 and 58396.

LCM(58378,58396) = 2² × 17² × 101¹ × 13¹ × 1123¹
LCM(58378,58396) = 1704520844