What is the Least Common Multiple of 13900 and 13904?

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 13900 and 13904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13900 and 13904, than apply into the LCM equation.

GCF(13900,13904) = 4
LCM(13900,13904) = ( 13900 × 13904) / 4
LCM(13900,13904) = 193265600 / 4
LCM(13900,13904) = 48316400

Least Common Multiple (LCM) of 13900 and 13904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13900 and 13904. First we will calculate the prime factors of 13900 and 13904.

Prime Factorization of 13900

Prime Factorization of 13904

Now multiplying the highest exponent prime factors to calculate the LCM of 13900 and 13904.

LCM(13900,13904) = 2⁴ × 5² × 139¹ × 11¹ × 79¹
LCM(13900,13904) = 48316400