What is the Least Common Multiple of 85149 and 85167?

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 85149 and 85167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85149 and 85167, than apply into the LCM equation.

GCF(85149,85167) = 9
LCM(85149,85167) = ( 85149 × 85167) / 9
LCM(85149,85167) = 7251884883 / 9
LCM(85149,85167) = 805764987

Least Common Multiple (LCM) of 85149 and 85167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85149 and 85167. First we will calculate the prime factors of 85149 and 85167.

Prime Factorization of 85149

Prime Factorization of 85167

Now multiplying the highest exponent prime factors to calculate the LCM of 85149 and 85167.

LCM(85149,85167) = 3² × 9461¹ × 9463¹
LCM(85149,85167) = 805764987