What is the Least Common Multiple of 13241 and 13260?

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 13241 and 13260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13241 and 13260, than apply into the LCM equation.

GCF(13241,13260) = 1
LCM(13241,13260) = ( 13241 × 13260) / 1
LCM(13241,13260) = 175575660 / 1
LCM(13241,13260) = 175575660

Least Common Multiple (LCM) of 13241 and 13260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13241 and 13260. First we will calculate the prime factors of 13241 and 13260.

Prime Factorization of 13241

Prime Factorization of 13260

Now multiplying the highest exponent prime factors to calculate the LCM of 13241 and 13260.

LCM(13241,13260) = 13241¹ × 2² × 3¹ × 5¹ × 13¹ × 17¹
LCM(13241,13260) = 175575660