GCF and LCM Calculator Logo

What is the Least Common Multiple of 9766 and 9786?

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 9766 and 9786 is 47785038.

LCM(9766,9786) = 47785038

LCM Calculator and
and

Least Common Multiple of 9766 and 9786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9766 and 9786, than apply into the LCM equation.

GCF(9766,9786) = 2
LCM(9766,9786) = ( 9766 × 9786) / 2
LCM(9766,9786) = 95570076 / 2
LCM(9766,9786) = 47785038

Least Common Multiple (LCM) of 9766 and 9786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9766 and 9786. First we will calculate the prime factors of 9766 and 9786.

Prime Factorization of 9766

Prime factors of 9766 are 2, 19, 257. Prime factorization of 9766 in exponential form is:

9766 = 21 × 191 × 2571

Prime Factorization of 9786

Prime factors of 9786 are 2, 3, 7, 233. Prime factorization of 9786 in exponential form is:

9786 = 21 × 31 × 71 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 9766 and 9786.

LCM(9766,9786) = 21 × 191 × 2571 × 31 × 71 × 2331
LCM(9766,9786) = 47785038