GCF and LCM Calculator Logo

What is the Least Common Multiple of 9790 and 9809?

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 9790 and 9809 is 96030110.

LCM(9790,9809) = 96030110

LCM Calculator and
and

Least Common Multiple of 9790 and 9809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9790 and 9809, than apply into the LCM equation.

GCF(9790,9809) = 1
LCM(9790,9809) = ( 9790 × 9809) / 1
LCM(9790,9809) = 96030110 / 1
LCM(9790,9809) = 96030110

Least Common Multiple (LCM) of 9790 and 9809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9790 and 9809. First we will calculate the prime factors of 9790 and 9809.

Prime Factorization of 9790

Prime factors of 9790 are 2, 5, 11, 89. Prime factorization of 9790 in exponential form is:

9790 = 21 × 51 × 111 × 891

Prime Factorization of 9809

Prime factors of 9809 are 17, 577. Prime factorization of 9809 in exponential form is:

9809 = 171 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 9790 and 9809.

LCM(9790,9809) = 21 × 51 × 111 × 891 × 171 × 5771
LCM(9790,9809) = 96030110