What is the Least Common Multiple of 58140 and 58152?

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 58140 and 58152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58140 and 58152, than apply into the LCM equation.

GCF(58140,58152) = 12
LCM(58140,58152) = ( 58140 × 58152) / 12
LCM(58140,58152) = 3380957280 / 12
LCM(58140,58152) = 281746440

Least Common Multiple (LCM) of 58140 and 58152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58140 and 58152. First we will calculate the prime factors of 58140 and 58152.

Prime Factorization of 58140

Prime Factorization of 58152

Now multiplying the highest exponent prime factors to calculate the LCM of 58140 and 58152.

LCM(58140,58152) = 2³ × 3² × 5¹ × 17¹ × 19¹ × 2423¹
LCM(58140,58152) = 281746440