What is the Least Common Multiple of 13890 and 13903?

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 13903 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 13903, than apply into the LCM equation.

GCF(13890,13903) = 1
LCM(13890,13903) = ( 13890 × 13903) / 1
LCM(13890,13903) = 193112670 / 1
LCM(13890,13903) = 193112670

Least Common Multiple (LCM) of 13890 and 13903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13890 and 13903. First we will calculate the prime factors of 13890 and 13903.

Prime Factorization of 13890

Prime Factorization of 13903

Now multiplying the highest exponent prime factors to calculate the LCM of 13890 and 13903.

LCM(13890,13903) = 2¹ × 3¹ × 5¹ × 463¹ × 13903¹
LCM(13890,13903) = 193112670