What is the Least Common Multiple of 58368 and 58378?

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 58368 and 58378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58368 and 58378, than apply into the LCM equation.

GCF(58368,58378) = 2
LCM(58368,58378) = ( 58368 × 58378) / 2
LCM(58368,58378) = 3407407104 / 2
LCM(58368,58378) = 1703703552

Least Common Multiple (LCM) of 58368 and 58378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58368 and 58378. First we will calculate the prime factors of 58368 and 58378.

Prime Factorization of 58368

Prime Factorization of 58378

Now multiplying the highest exponent prime factors to calculate the LCM of 58368 and 58378.

LCM(58368,58378) = 2¹⁰ × 3¹ × 19¹ × 17² × 101¹
LCM(58368,58378) = 1703703552