What is the Least Common Multiple of 86172 and 86188?

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 86188 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 86188, than apply into the LCM equation.

GCF(86172,86188) = 4
LCM(86172,86188) = ( 86172 × 86188) / 4
LCM(86172,86188) = 7426992336 / 4
LCM(86172,86188) = 1856748084

Least Common Multiple (LCM) of 86172 and 86188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86172 and 86188. First we will calculate the prime factors of 86172 and 86188.

Prime Factorization of 86172

Prime Factorization of 86188

Now multiplying the highest exponent prime factors to calculate the LCM of 86172 and 86188.

LCM(86172,86188) = 2² × 3¹ × 43¹ × 167¹ × 29¹ × 743¹
LCM(86172,86188) = 1856748084