What is the Least Common Multiple of 58413 and 58430?

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 58413 and 58430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58413 and 58430, than apply into the LCM equation.

GCF(58413,58430) = 1
LCM(58413,58430) = ( 58413 × 58430) / 1
LCM(58413,58430) = 3413071590 / 1
LCM(58413,58430) = 3413071590

Least Common Multiple (LCM) of 58413 and 58430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58413 and 58430. First we will calculate the prime factors of 58413 and 58430.

Prime Factorization of 58413

Prime Factorization of 58430

Now multiplying the highest exponent prime factors to calculate the LCM of 58413 and 58430.

LCM(58413,58430) = 3¹ × 19471¹ × 2¹ × 5¹ × 5843¹
LCM(58413,58430) = 3413071590