What is the Least Common Multiple of 89170 and 89184?

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 89170 and 89184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89170 and 89184, than apply into the LCM equation.

GCF(89170,89184) = 2
LCM(89170,89184) = ( 89170 × 89184) / 2
LCM(89170,89184) = 7952537280 / 2
LCM(89170,89184) = 3976268640

Least Common Multiple (LCM) of 89170 and 89184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89170 and 89184. First we will calculate the prime factors of 89170 and 89184.

Prime Factorization of 89170

Prime Factorization of 89184

Now multiplying the highest exponent prime factors to calculate the LCM of 89170 and 89184.

LCM(89170,89184) = 2⁵ × 5¹ × 37¹ × 241¹ × 3¹ × 929¹
LCM(89170,89184) = 3976268640