What is the Least Common Multiple of 95170 and 95175?

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 95175 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 95175, than apply into the LCM equation.

GCF(95170,95175) = 5
LCM(95170,95175) = ( 95170 × 95175) / 5
LCM(95170,95175) = 9057804750 / 5
LCM(95170,95175) = 1811560950

Least Common Multiple (LCM) of 95170 and 95175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95170 and 95175. First we will calculate the prime factors of 95170 and 95175.

Prime Factorization of 95170

Prime Factorization of 95175

Now multiplying the highest exponent prime factors to calculate the LCM of 95170 and 95175.

LCM(95170,95175) = 2¹ × 5² × 31¹ × 307¹ × 3⁴ × 47¹
LCM(95170,95175) = 1811560950