What is the Least Common Multiple of 88170 and 88184?

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 88170 and 88184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88170 and 88184, than apply into the LCM equation.

GCF(88170,88184) = 2
LCM(88170,88184) = ( 88170 × 88184) / 2
LCM(88170,88184) = 7775183280 / 2
LCM(88170,88184) = 3887591640

Least Common Multiple (LCM) of 88170 and 88184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88170 and 88184. First we will calculate the prime factors of 88170 and 88184.

Prime Factorization of 88170

Prime Factorization of 88184

Now multiplying the highest exponent prime factors to calculate the LCM of 88170 and 88184.

LCM(88170,88184) = 2³ × 3¹ × 5¹ × 2939¹ × 73¹ × 151¹
LCM(88170,88184) = 3887591640