What is the Least Common Multiple of 19831 and 19838?

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 19831 and 19838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19831 and 19838, than apply into the LCM equation.

GCF(19831,19838) = 7
LCM(19831,19838) = ( 19831 × 19838) / 7
LCM(19831,19838) = 393407378 / 7
LCM(19831,19838) = 56201054

Least Common Multiple (LCM) of 19831 and 19838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19831 and 19838. First we will calculate the prime factors of 19831 and 19838.

Prime Factorization of 19831

Prime Factorization of 19838

Now multiplying the highest exponent prime factors to calculate the LCM of 19831 and 19838.

LCM(19831,19838) = 7¹ × 2833¹ × 2¹ × 13¹ × 109¹
LCM(19831,19838) = 56201054