What is the Least Common Multiple of 13923 and 13940?

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 13923 and 13940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13923 and 13940, than apply into the LCM equation.

GCF(13923,13940) = 17
LCM(13923,13940) = ( 13923 × 13940) / 17
LCM(13923,13940) = 194086620 / 17
LCM(13923,13940) = 11416860

Least Common Multiple (LCM) of 13923 and 13940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13923 and 13940. First we will calculate the prime factors of 13923 and 13940.

Prime Factorization of 13923

Prime Factorization of 13940

Now multiplying the highest exponent prime factors to calculate the LCM of 13923 and 13940.

LCM(13923,13940) = 3² × 7¹ × 13¹ × 17¹ × 2² × 5¹ × 41¹
LCM(13923,13940) = 11416860