What is the Least Common Multiple of 58383 and 58398?

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 58383 and 58398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58383 and 58398, than apply into the LCM equation.

GCF(58383,58398) = 3
LCM(58383,58398) = ( 58383 × 58398) / 3
LCM(58383,58398) = 3409450434 / 3
LCM(58383,58398) = 1136483478

Least Common Multiple (LCM) of 58383 and 58398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58383 and 58398. First we will calculate the prime factors of 58383 and 58398.

Prime Factorization of 58383

Prime Factorization of 58398

Now multiplying the highest exponent prime factors to calculate the LCM of 58383 and 58398.

LCM(58383,58398) = 3² × 13¹ × 499¹ × 2¹ × 9733¹
LCM(58383,58398) = 1136483478