What is the Least Common Multiple of 19834 and 19847?

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 19834 and 19847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19834 and 19847, than apply into the LCM equation.

GCF(19834,19847) = 1
LCM(19834,19847) = ( 19834 × 19847) / 1
LCM(19834,19847) = 393645398 / 1
LCM(19834,19847) = 393645398

Least Common Multiple (LCM) of 19834 and 19847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19834 and 19847. First we will calculate the prime factors of 19834 and 19847.

Prime Factorization of 19834

Prime Factorization of 19847

Now multiplying the highest exponent prime factors to calculate the LCM of 19834 and 19847.

LCM(19834,19847) = 2¹ × 47¹ × 211¹ × 89¹ × 223¹
LCM(19834,19847) = 393645398