What is the Least Common Multiple of 58000 and 58008?

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 58000 and 58008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58000 and 58008, than apply into the LCM equation.

GCF(58000,58008) = 8
LCM(58000,58008) = ( 58000 × 58008) / 8
LCM(58000,58008) = 3364464000 / 8
LCM(58000,58008) = 420558000

Least Common Multiple (LCM) of 58000 and 58008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58000 and 58008. First we will calculate the prime factors of 58000 and 58008.

Prime Factorization of 58000

Prime Factorization of 58008

Now multiplying the highest exponent prime factors to calculate the LCM of 58000 and 58008.

LCM(58000,58008) = 2⁴ × 5³ × 29¹ × 3¹ × 2417¹
LCM(58000,58008) = 420558000