What is the Least Common Multiple of 99185 and 99195?

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 99185 and 99195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99185 and 99195, than apply into the LCM equation.

GCF(99185,99195) = 5
LCM(99185,99195) = ( 99185 × 99195) / 5
LCM(99185,99195) = 9838656075 / 5
LCM(99185,99195) = 1967731215

Least Common Multiple (LCM) of 99185 and 99195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99185 and 99195. First we will calculate the prime factors of 99185 and 99195.

Prime Factorization of 99185

Prime Factorization of 99195

Now multiplying the highest exponent prime factors to calculate the LCM of 99185 and 99195.

LCM(99185,99195) = 5¹ × 83¹ × 239¹ × 3¹ × 17¹ × 389¹
LCM(99185,99195) = 1967731215