What is the Least Common Multiple of 86184 and 86192?

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 86184 and 86192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86184 and 86192, than apply into the LCM equation.

GCF(86184,86192) = 8
LCM(86184,86192) = ( 86184 × 86192) / 8
LCM(86184,86192) = 7428371328 / 8
LCM(86184,86192) = 928546416

Least Common Multiple (LCM) of 86184 and 86192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86184 and 86192. First we will calculate the prime factors of 86184 and 86192.

Prime Factorization of 86184

Prime Factorization of 86192

Now multiplying the highest exponent prime factors to calculate the LCM of 86184 and 86192.

LCM(86184,86192) = 2⁴ × 3⁴ × 7¹ × 19¹ × 5387¹
LCM(86184,86192) = 928546416