What is the Least Common Multiple of 67160 and 67180?

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 67160 and 67180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67160 and 67180, than apply into the LCM equation.

GCF(67160,67180) = 20
LCM(67160,67180) = ( 67160 × 67180) / 20
LCM(67160,67180) = 4511808800 / 20
LCM(67160,67180) = 225590440

Least Common Multiple (LCM) of 67160 and 67180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67160 and 67180. First we will calculate the prime factors of 67160 and 67180.

Prime Factorization of 67160

Prime Factorization of 67180

Now multiplying the highest exponent prime factors to calculate the LCM of 67160 and 67180.

LCM(67160,67180) = 2³ × 5¹ × 23¹ × 73¹ × 3359¹
LCM(67160,67180) = 225590440