What is the Least Common Multiple of 19914 and 19934?

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 19914 and 19934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19914 and 19934, than apply into the LCM equation.

GCF(19914,19934) = 2
LCM(19914,19934) = ( 19914 × 19934) / 2
LCM(19914,19934) = 396965676 / 2
LCM(19914,19934) = 198482838

Least Common Multiple (LCM) of 19914 and 19934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19914 and 19934. First we will calculate the prime factors of 19914 and 19934.

Prime Factorization of 19914

Prime Factorization of 19934

Now multiplying the highest exponent prime factors to calculate the LCM of 19914 and 19934.

LCM(19914,19934) = 2¹ × 3¹ × 3319¹ × 9967¹
LCM(19914,19934) = 198482838