What is the Least Common Multiple of 13280 and 13291?

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 13280 and 13291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13280 and 13291, than apply into the LCM equation.

GCF(13280,13291) = 1
LCM(13280,13291) = ( 13280 × 13291) / 1
LCM(13280,13291) = 176504480 / 1
LCM(13280,13291) = 176504480

Least Common Multiple (LCM) of 13280 and 13291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13280 and 13291. First we will calculate the prime factors of 13280 and 13291.

Prime Factorization of 13280

Prime Factorization of 13291

Now multiplying the highest exponent prime factors to calculate the LCM of 13280 and 13291.

LCM(13280,13291) = 2⁵ × 5¹ × 83¹ × 13291¹
LCM(13280,13291) = 176504480