What is the Least Common Multiple of 13105 and 13112?

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 13105 and 13112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13105 and 13112, than apply into the LCM equation.

GCF(13105,13112) = 1
LCM(13105,13112) = ( 13105 × 13112) / 1
LCM(13105,13112) = 171832760 / 1
LCM(13105,13112) = 171832760

Least Common Multiple (LCM) of 13105 and 13112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13105 and 13112. First we will calculate the prime factors of 13105 and 13112.

Prime Factorization of 13105

Prime Factorization of 13112

Now multiplying the highest exponent prime factors to calculate the LCM of 13105 and 13112.

LCM(13105,13112) = 5¹ × 2621¹ × 2³ × 11¹ × 149¹
LCM(13105,13112) = 171832760