What is the Least Common Multiple of 58016 and 58024?

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 58016 and 58024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58016 and 58024, than apply into the LCM equation.

GCF(58016,58024) = 8
LCM(58016,58024) = ( 58016 × 58024) / 8
LCM(58016,58024) = 3366320384 / 8
LCM(58016,58024) = 420790048

Least Common Multiple (LCM) of 58016 and 58024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58016 and 58024. First we will calculate the prime factors of 58016 and 58024.

Prime Factorization of 58016

Prime Factorization of 58024

Now multiplying the highest exponent prime factors to calculate the LCM of 58016 and 58024.

LCM(58016,58024) = 2⁵ × 7² × 37¹ × 7253¹
LCM(58016,58024) = 420790048