What is the Least Common Multiple of 24362 and 24377?

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 24362 and 24377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24362 and 24377, than apply into the LCM equation.

GCF(24362,24377) = 1
LCM(24362,24377) = ( 24362 × 24377) / 1
LCM(24362,24377) = 593872474 / 1
LCM(24362,24377) = 593872474

Least Common Multiple (LCM) of 24362 and 24377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24362 and 24377. First we will calculate the prime factors of 24362 and 24377.

Prime Factorization of 24362

Prime Factorization of 24377

Now multiplying the highest exponent prime factors to calculate the LCM of 24362 and 24377.

LCM(24362,24377) = 2¹ × 13¹ × 937¹ × 19¹ × 1283¹
LCM(24362,24377) = 593872474