What is the Least Common Multiple of 86149 and 86167?

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 86149 and 86167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86149 and 86167, than apply into the LCM equation.

GCF(86149,86167) = 1
LCM(86149,86167) = ( 86149 × 86167) / 1
LCM(86149,86167) = 7423200883 / 1
LCM(86149,86167) = 7423200883

Least Common Multiple (LCM) of 86149 and 86167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86149 and 86167. First we will calculate the prime factors of 86149 and 86167.

Prime Factorization of 86149

Prime Factorization of 86167

Now multiplying the highest exponent prime factors to calculate the LCM of 86149 and 86167.

LCM(86149,86167) = 7¹ × 31¹ × 397¹ × 199¹ × 433¹
LCM(86149,86167) = 7423200883