What is the Least Common Multiple of 58398 and 58413?

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 58398 and 58413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58398 and 58413, than apply into the LCM equation.

GCF(58398,58413) = 3
LCM(58398,58413) = ( 58398 × 58413) / 3
LCM(58398,58413) = 3411202374 / 3
LCM(58398,58413) = 1137067458

Least Common Multiple (LCM) of 58398 and 58413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58398 and 58413. First we will calculate the prime factors of 58398 and 58413.

Prime Factorization of 58398

Prime Factorization of 58413

Now multiplying the highest exponent prime factors to calculate the LCM of 58398 and 58413.

LCM(58398,58413) = 2¹ × 3¹ × 9733¹ × 19471¹
LCM(58398,58413) = 1137067458