What is the Least Common Multiple of 92380 and 92384?

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 92380 and 92384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92380 and 92384, than apply into the LCM equation.

GCF(92380,92384) = 4
LCM(92380,92384) = ( 92380 × 92384) / 4
LCM(92380,92384) = 8534433920 / 4
LCM(92380,92384) = 2133608480

Least Common Multiple (LCM) of 92380 and 92384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92380 and 92384. First we will calculate the prime factors of 92380 and 92384.

Prime Factorization of 92380

Prime Factorization of 92384

Now multiplying the highest exponent prime factors to calculate the LCM of 92380 and 92384.

LCM(92380,92384) = 2⁵ × 5¹ × 31¹ × 149¹ × 2887¹
LCM(92380,92384) = 2133608480