What is the Least Common Multiple of 99170 and 99184?

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 99170 and 99184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99170 and 99184, than apply into the LCM equation.

GCF(99170,99184) = 2
LCM(99170,99184) = ( 99170 × 99184) / 2
LCM(99170,99184) = 9836077280 / 2
LCM(99170,99184) = 4918038640

Least Common Multiple (LCM) of 99170 and 99184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99170 and 99184. First we will calculate the prime factors of 99170 and 99184.

Prime Factorization of 99170

Prime Factorization of 99184

Now multiplying the highest exponent prime factors to calculate the LCM of 99170 and 99184.

LCM(99170,99184) = 2⁴ × 5¹ × 47¹ × 211¹ × 6199¹
LCM(99170,99184) = 4918038640