What is the Least Common Multiple of 67160 and 67168?

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 67168 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 67168, than apply into the LCM equation.

GCF(67160,67168) = 8
LCM(67160,67168) = ( 67160 × 67168) / 8
LCM(67160,67168) = 4511002880 / 8
LCM(67160,67168) = 563875360

Least Common Multiple (LCM) of 67160 and 67168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67160 and 67168. First we will calculate the prime factors of 67160 and 67168.

Prime Factorization of 67160

Prime Factorization of 67168

Now multiplying the highest exponent prime factors to calculate the LCM of 67160 and 67168.

LCM(67160,67168) = 2⁵ × 5¹ × 23¹ × 73¹ × 2099¹
LCM(67160,67168) = 563875360