What is the Least Common Multiple of 19784 and 19796?

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 19784 and 19796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19784 and 19796, than apply into the LCM equation.

GCF(19784,19796) = 4
LCM(19784,19796) = ( 19784 × 19796) / 4
LCM(19784,19796) = 391644064 / 4
LCM(19784,19796) = 97911016

Least Common Multiple (LCM) of 19784 and 19796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19784 and 19796. First we will calculate the prime factors of 19784 and 19796.

Prime Factorization of 19784

Prime Factorization of 19796

Now multiplying the highest exponent prime factors to calculate the LCM of 19784 and 19796.

LCM(19784,19796) = 2³ × 2473¹ × 7² × 101¹
LCM(19784,19796) = 97911016