What is the Least Common Multiple of 13890 and 13910?

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 13910 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 13910, than apply into the LCM equation.

GCF(13890,13910) = 10
LCM(13890,13910) = ( 13890 × 13910) / 10
LCM(13890,13910) = 193209900 / 10
LCM(13890,13910) = 19320990

Least Common Multiple (LCM) of 13890 and 13910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13890 and 13910. First we will calculate the prime factors of 13890 and 13910.

Prime Factorization of 13890

Prime Factorization of 13910

Now multiplying the highest exponent prime factors to calculate the LCM of 13890 and 13910.

LCM(13890,13910) = 2¹ × 3¹ × 5¹ × 463¹ × 13¹ × 107¹
LCM(13890,13910) = 19320990