GCF and LCM Calculator Logo

What is the Least Common Multiple of 9802 and 9806?

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 9802 and 9806 is 48059206.

LCM(9802,9806) = 48059206

LCM Calculator and
and

Least Common Multiple of 9802 and 9806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9802 and 9806, than apply into the LCM equation.

GCF(9802,9806) = 2
LCM(9802,9806) = ( 9802 × 9806) / 2
LCM(9802,9806) = 96118412 / 2
LCM(9802,9806) = 48059206

Least Common Multiple (LCM) of 9802 and 9806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9802 and 9806. First we will calculate the prime factors of 9802 and 9806.

Prime Factorization of 9802

Prime factors of 9802 are 2, 13, 29. Prime factorization of 9802 in exponential form is:

9802 = 21 × 132 × 291

Prime Factorization of 9806

Prime factors of 9806 are 2, 4903. Prime factorization of 9806 in exponential form is:

9806 = 21 × 49031

Now multiplying the highest exponent prime factors to calculate the LCM of 9802 and 9806.

LCM(9802,9806) = 21 × 132 × 291 × 49031
LCM(9802,9806) = 48059206