What is the Least Common Multiple of 86172 and 86181?

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 86181 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 86181, than apply into the LCM equation.

GCF(86172,86181) = 3
LCM(86172,86181) = ( 86172 × 86181) / 3
LCM(86172,86181) = 7426389132 / 3
LCM(86172,86181) = 2475463044

Least Common Multiple (LCM) of 86172 and 86181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86172 and 86181. First we will calculate the prime factors of 86172 and 86181.

Prime Factorization of 86172

Prime Factorization of 86181

Now multiplying the highest exponent prime factors to calculate the LCM of 86172 and 86181.

LCM(86172,86181) = 2² × 3¹ × 43¹ × 167¹ × 23¹ × 1249¹
LCM(86172,86181) = 2475463044