What is the Least Common Multiple of 58152 and 58167?

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 58152 and 58167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58152 and 58167, than apply into the LCM equation.

GCF(58152,58167) = 3
LCM(58152,58167) = ( 58152 × 58167) / 3
LCM(58152,58167) = 3382527384 / 3
LCM(58152,58167) = 1127509128

Least Common Multiple (LCM) of 58152 and 58167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58152 and 58167. First we will calculate the prime factors of 58152 and 58167.

Prime Factorization of 58152

Prime Factorization of 58167

Now multiplying the highest exponent prime factors to calculate the LCM of 58152 and 58167.

LCM(58152,58167) = 2³ × 3² × 2423¹ × 23¹ × 281¹
LCM(58152,58167) = 1127509128