What is the Least Common Multiple of 13270 and 13275?

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 13270 and 13275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13270 and 13275, than apply into the LCM equation.

GCF(13270,13275) = 5
LCM(13270,13275) = ( 13270 × 13275) / 5
LCM(13270,13275) = 176159250 / 5
LCM(13270,13275) = 35231850

Least Common Multiple (LCM) of 13270 and 13275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13270 and 13275. First we will calculate the prime factors of 13270 and 13275.

Prime Factorization of 13270

Prime Factorization of 13275

Now multiplying the highest exponent prime factors to calculate the LCM of 13270 and 13275.

LCM(13270,13275) = 2¹ × 5² × 1327¹ × 3² × 59¹
LCM(13270,13275) = 35231850