What is the Least Common Multiple of 13160 and 13175?

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 13175 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 13175, than apply into the LCM equation.

GCF(13160,13175) = 5
LCM(13160,13175) = ( 13160 × 13175) / 5
LCM(13160,13175) = 173383000 / 5
LCM(13160,13175) = 34676600

Least Common Multiple (LCM) of 13160 and 13175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13160 and 13175. First we will calculate the prime factors of 13160 and 13175.

Prime Factorization of 13160

Prime Factorization of 13175

Now multiplying the highest exponent prime factors to calculate the LCM of 13160 and 13175.

LCM(13160,13175) = 2³ × 5² × 7¹ × 47¹ × 17¹ × 31¹
LCM(13160,13175) = 34676600