What is the Least Common Multiple of 68170 and 68184?

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 68170 and 68184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68170 and 68184, than apply into the LCM equation.

GCF(68170,68184) = 2
LCM(68170,68184) = ( 68170 × 68184) / 2
LCM(68170,68184) = 4648103280 / 2
LCM(68170,68184) = 2324051640

Least Common Multiple (LCM) of 68170 and 68184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68170 and 68184. First we will calculate the prime factors of 68170 and 68184.

Prime Factorization of 68170

Prime Factorization of 68184

Now multiplying the highest exponent prime factors to calculate the LCM of 68170 and 68184.

LCM(68170,68184) = 2³ × 5¹ × 17¹ × 401¹ × 3² × 947¹
LCM(68170,68184) = 2324051640