What is the Least Common Multiple of 13890 and 13905?

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 13890 and 13905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13890 and 13905, than apply into the LCM equation.

GCF(13890,13905) = 15
LCM(13890,13905) = ( 13890 × 13905) / 15
LCM(13890,13905) = 193140450 / 15
LCM(13890,13905) = 12876030

Least Common Multiple (LCM) of 13890 and 13905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13890 and 13905. First we will calculate the prime factors of 13890 and 13905.

Prime Factorization of 13890

Prime Factorization of 13905

Now multiplying the highest exponent prime factors to calculate the LCM of 13890 and 13905.

LCM(13890,13905) = 2¹ × 3³ × 5¹ × 463¹ × 103¹
LCM(13890,13905) = 12876030