What is the Least Common Multiple of 95170 and 95185?

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 95170 and 95185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95170 and 95185, than apply into the LCM equation.

GCF(95170,95185) = 5
LCM(95170,95185) = ( 95170 × 95185) / 5
LCM(95170,95185) = 9058756450 / 5
LCM(95170,95185) = 1811751290

Least Common Multiple (LCM) of 95170 and 95185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95170 and 95185. First we will calculate the prime factors of 95170 and 95185.

Prime Factorization of 95170

Prime Factorization of 95185

Now multiplying the highest exponent prime factors to calculate the LCM of 95170 and 95185.

LCM(95170,95185) = 2¹ × 5¹ × 31¹ × 307¹ × 19037¹
LCM(95170,95185) = 1811751290