GCF and LCM Calculator Logo

What is the Least Common Multiple of 19806 and 19820?

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 19806 and 19820 is 196277460.

LCM(19806,19820) = 196277460

LCM Calculator and
and

Least Common Multiple of 19806 and 19820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19806 and 19820, than apply into the LCM equation.

GCF(19806,19820) = 2
LCM(19806,19820) = ( 19806 × 19820) / 2
LCM(19806,19820) = 392554920 / 2
LCM(19806,19820) = 196277460

Least Common Multiple (LCM) of 19806 and 19820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19806 and 19820. First we will calculate the prime factors of 19806 and 19820.

Prime Factorization of 19806

Prime factors of 19806 are 2, 3, 3301. Prime factorization of 19806 in exponential form is:

19806 = 21 × 31 × 33011

Prime Factorization of 19820

Prime factors of 19820 are 2, 5, 991. Prime factorization of 19820 in exponential form is:

19820 = 22 × 51 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 19806 and 19820.

LCM(19806,19820) = 22 × 31 × 33011 × 51 × 9911
LCM(19806,19820) = 196277460