What is the Least Common Multiple of 92380 and 92392?

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 92392 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 92392, than apply into the LCM equation.

GCF(92380,92392) = 4
LCM(92380,92392) = ( 92380 × 92392) / 4
LCM(92380,92392) = 8535172960 / 4
LCM(92380,92392) = 2133793240

Least Common Multiple (LCM) of 92380 and 92392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92380 and 92392. First we will calculate the prime factors of 92380 and 92392.

Prime Factorization of 92380

Prime Factorization of 92392

Now multiplying the highest exponent prime factors to calculate the LCM of 92380 and 92392.

LCM(92380,92392) = 2³ × 5¹ × 31¹ × 149¹ × 11549¹
LCM(92380,92392) = 2133793240