GCF and LCM Calculator Logo

What is the Least Common Multiple of 19847 and 19862?

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 (LCM) of 19847 and 19862 is 394201114.

LCM(19847,19862) = 394201114

LCM Calculator and
and

Least Common Multiple of 19847 and 19862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19847 and 19862, than apply into the LCM equation.

GCF(19847,19862) = 1
LCM(19847,19862) = ( 19847 × 19862) / 1
LCM(19847,19862) = 394201114 / 1
LCM(19847,19862) = 394201114

Least Common Multiple (LCM) of 19847 and 19862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19847 and 19862. First we will calculate the prime factors of 19847 and 19862.

Prime Factorization of 19847

Prime factors of 19847 are 89, 223. Prime factorization of 19847 in exponential form is:

19847 = 891 × 2231

Prime Factorization of 19862

Prime factors of 19862 are 2, 9931. Prime factorization of 19862 in exponential form is:

19862 = 21 × 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 19847 and 19862.

LCM(19847,19862) = 891 × 2231 × 21 × 99311
LCM(19847,19862) = 394201114