What is the Least Common Multiple of 58380 and 58384?

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 58380 and 58384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58380 and 58384, than apply into the LCM equation.

GCF(58380,58384) = 4
LCM(58380,58384) = ( 58380 × 58384) / 4
LCM(58380,58384) = 3408457920 / 4
LCM(58380,58384) = 852114480

Least Common Multiple (LCM) of 58380 and 58384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58380 and 58384. First we will calculate the prime factors of 58380 and 58384.

Prime Factorization of 58380

Prime Factorization of 58384

Now multiplying the highest exponent prime factors to calculate the LCM of 58380 and 58384.

LCM(58380,58384) = 2⁴ × 3¹ × 5¹ × 7¹ × 139¹ × 41¹ × 89¹
LCM(58380,58384) = 852114480