What is the Least Common Multiple of 13160 and 13168?

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 13160 and 13168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13160 and 13168, than apply into the LCM equation.

GCF(13160,13168) = 8
LCM(13160,13168) = ( 13160 × 13168) / 8
LCM(13160,13168) = 173290880 / 8
LCM(13160,13168) = 21661360

Least Common Multiple (LCM) of 13160 and 13168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13160 and 13168. First we will calculate the prime factors of 13160 and 13168.

Prime Factorization of 13160

Prime Factorization of 13168

Now multiplying the highest exponent prime factors to calculate the LCM of 13160 and 13168.

LCM(13160,13168) = 2⁴ × 5¹ × 7¹ × 47¹ × 823¹
LCM(13160,13168) = 21661360