What is the Least Common Multiple of 58824 and 58830?

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 58824 and 58830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58824 and 58830, than apply into the LCM equation.

GCF(58824,58830) = 6
LCM(58824,58830) = ( 58824 × 58830) / 6
LCM(58824,58830) = 3460615920 / 6
LCM(58824,58830) = 576769320

Least Common Multiple (LCM) of 58824 and 58830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58824 and 58830. First we will calculate the prime factors of 58824 and 58830.

Prime Factorization of 58824

Prime Factorization of 58830

Now multiplying the highest exponent prime factors to calculate the LCM of 58824 and 58830.

LCM(58824,58830) = 2³ × 3² × 19¹ × 43¹ × 5¹ × 37¹ × 53¹
LCM(58824,58830) = 576769320