What is the Least Common Multiple of 86172 and 86184?

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 86172 and 86184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86172 and 86184, than apply into the LCM equation.

GCF(86172,86184) = 12
LCM(86172,86184) = ( 86172 × 86184) / 12
LCM(86172,86184) = 7426647648 / 12
LCM(86172,86184) = 618887304

Least Common Multiple (LCM) of 86172 and 86184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86172 and 86184. First we will calculate the prime factors of 86172 and 86184.

Prime Factorization of 86172

Prime Factorization of 86184

Now multiplying the highest exponent prime factors to calculate the LCM of 86172 and 86184.

LCM(86172,86184) = 2³ × 3⁴ × 43¹ × 167¹ × 7¹ × 19¹
LCM(86172,86184) = 618887304