What is the Least Common Multiple of 12900 and 12915?

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 12900 and 12915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12900 and 12915, than apply into the LCM equation.

GCF(12900,12915) = 15
LCM(12900,12915) = ( 12900 × 12915) / 15
LCM(12900,12915) = 166603500 / 15
LCM(12900,12915) = 11106900

Least Common Multiple (LCM) of 12900 and 12915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12900 and 12915. First we will calculate the prime factors of 12900 and 12915.

Prime Factorization of 12900

Prime Factorization of 12915

Now multiplying the highest exponent prime factors to calculate the LCM of 12900 and 12915.

LCM(12900,12915) = 2² × 3² × 5² × 43¹ × 7¹ × 41¹
LCM(12900,12915) = 11106900