What is the Least Common Multiple of 19894 and 19904?

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 19894 and 19904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19894 and 19904, than apply into the LCM equation.

GCF(19894,19904) = 2
LCM(19894,19904) = ( 19894 × 19904) / 2
LCM(19894,19904) = 395970176 / 2
LCM(19894,19904) = 197985088

Least Common Multiple (LCM) of 19894 and 19904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19894 and 19904. First we will calculate the prime factors of 19894 and 19904.

Prime Factorization of 19894

Prime Factorization of 19904

Now multiplying the highest exponent prime factors to calculate the LCM of 19894 and 19904.

LCM(19894,19904) = 2⁶ × 7³ × 29¹ × 311¹
LCM(19894,19904) = 197985088