What is the Least Common Multiple of 24368 and 24379?

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 24368 and 24379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24368 and 24379, than apply into the LCM equation.

GCF(24368,24379) = 1
LCM(24368,24379) = ( 24368 × 24379) / 1
LCM(24368,24379) = 594067472 / 1
LCM(24368,24379) = 594067472

Least Common Multiple (LCM) of 24368 and 24379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24368 and 24379. First we will calculate the prime factors of 24368 and 24379.

Prime Factorization of 24368

Prime Factorization of 24379

Now multiplying the highest exponent prime factors to calculate the LCM of 24368 and 24379.

LCM(24368,24379) = 2⁴ × 1523¹ × 24379¹
LCM(24368,24379) = 594067472