What is the Least Common Multiple of 58020 and 58032?

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 58020 and 58032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58020 and 58032, than apply into the LCM equation.

GCF(58020,58032) = 12
LCM(58020,58032) = ( 58020 × 58032) / 12
LCM(58020,58032) = 3367016640 / 12
LCM(58020,58032) = 280584720

Least Common Multiple (LCM) of 58020 and 58032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58020 and 58032. First we will calculate the prime factors of 58020 and 58032.

Prime Factorization of 58020

Prime Factorization of 58032

Now multiplying the highest exponent prime factors to calculate the LCM of 58020 and 58032.

LCM(58020,58032) = 2⁴ × 3² × 5¹ × 967¹ × 13¹ × 31¹
LCM(58020,58032) = 280584720