What is the Least Common Multiple of 12815 and 12835?

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 12815 and 12835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12815 and 12835, than apply into the LCM equation.

GCF(12815,12835) = 5
LCM(12815,12835) = ( 12815 × 12835) / 5
LCM(12815,12835) = 164480525 / 5
LCM(12815,12835) = 32896105

Least Common Multiple (LCM) of 12815 and 12835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12815 and 12835. First we will calculate the prime factors of 12815 and 12835.

Prime Factorization of 12815

Prime Factorization of 12835

Now multiplying the highest exponent prime factors to calculate the LCM of 12815 and 12835.

LCM(12815,12835) = 5¹ × 11¹ × 233¹ × 17¹ × 151¹
LCM(12815,12835) = 32896105