What is the Least Common Multiple of 13300 and 13315?

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 13300 and 13315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13300 and 13315, than apply into the LCM equation.

GCF(13300,13315) = 5
LCM(13300,13315) = ( 13300 × 13315) / 5
LCM(13300,13315) = 177089500 / 5
LCM(13300,13315) = 35417900

Least Common Multiple (LCM) of 13300 and 13315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13300 and 13315. First we will calculate the prime factors of 13300 and 13315.

Prime Factorization of 13300

Prime Factorization of 13315

Now multiplying the highest exponent prime factors to calculate the LCM of 13300 and 13315.

LCM(13300,13315) = 2² × 5² × 7¹ × 19¹ × 2663¹
LCM(13300,13315) = 35417900