What is the Least Common Multiple of 58128 and 58133?

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 58128 and 58133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58128 and 58133, than apply into the LCM equation.

GCF(58128,58133) = 1
LCM(58128,58133) = ( 58128 × 58133) / 1
LCM(58128,58133) = 3379155024 / 1
LCM(58128,58133) = 3379155024

Least Common Multiple (LCM) of 58128 and 58133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58128 and 58133. First we will calculate the prime factors of 58128 and 58133.

Prime Factorization of 58128

Prime Factorization of 58133

Now multiplying the highest exponent prime factors to calculate the LCM of 58128 and 58133.

LCM(58128,58133) = 2⁴ × 3¹ × 7¹ × 173¹ × 61¹ × 953¹
LCM(58128,58133) = 3379155024