What is the Least Common Multiple of 19838 and 19858?

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 19838 and 19858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19838 and 19858, than apply into the LCM equation.

GCF(19838,19858) = 2
LCM(19838,19858) = ( 19838 × 19858) / 2
LCM(19838,19858) = 393943004 / 2
LCM(19838,19858) = 196971502

Least Common Multiple (LCM) of 19838 and 19858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19838 and 19858. First we will calculate the prime factors of 19838 and 19858.

Prime Factorization of 19838

Prime Factorization of 19858

Now multiplying the highest exponent prime factors to calculate the LCM of 19838 and 19858.

LCM(19838,19858) = 2¹ × 7¹ × 13¹ × 109¹ × 9929¹
LCM(19838,19858) = 196971502