What is the Least Common Multiple of 86170 and 86189?

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 86170 and 86189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86170 and 86189, than apply into the LCM equation.

GCF(86170,86189) = 1
LCM(86170,86189) = ( 86170 × 86189) / 1
LCM(86170,86189) = 7426906130 / 1
LCM(86170,86189) = 7426906130

Least Common Multiple (LCM) of 86170 and 86189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86170 and 86189. First we will calculate the prime factors of 86170 and 86189.

Prime Factorization of 86170

Prime Factorization of 86189

Now multiplying the highest exponent prime factors to calculate the LCM of 86170 and 86189.

LCM(86170,86189) = 2¹ × 5¹ × 7¹ × 1231¹ × 79¹ × 1091¹
LCM(86170,86189) = 7426906130