What is the Least Common Multiple of 13909 and 13923?

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 13909 and 13923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13909 and 13923, than apply into the LCM equation.

GCF(13909,13923) = 7
LCM(13909,13923) = ( 13909 × 13923) / 7
LCM(13909,13923) = 193655007 / 7
LCM(13909,13923) = 27665001

Least Common Multiple (LCM) of 13909 and 13923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13909 and 13923. First we will calculate the prime factors of 13909 and 13923.

Prime Factorization of 13909

Prime Factorization of 13923

Now multiplying the highest exponent prime factors to calculate the LCM of 13909 and 13923.

LCM(13909,13923) = 7¹ × 1987¹ × 3² × 13¹ × 17¹
LCM(13909,13923) = 27665001