GCF and LCM Calculator Logo

What is the Least Common Multiple of 9668 and 9680?

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 9668 and 9680 is 23396560.

LCM(9668,9680) = 23396560

LCM Calculator and
and

Least Common Multiple of 9668 and 9680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9668 and 9680, than apply into the LCM equation.

GCF(9668,9680) = 4
LCM(9668,9680) = ( 9668 × 9680) / 4
LCM(9668,9680) = 93586240 / 4
LCM(9668,9680) = 23396560

Least Common Multiple (LCM) of 9668 and 9680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9668 and 9680. First we will calculate the prime factors of 9668 and 9680.

Prime Factorization of 9668

Prime factors of 9668 are 2, 2417. Prime factorization of 9668 in exponential form is:

9668 = 22 × 24171

Prime Factorization of 9680

Prime factors of 9680 are 2, 5, 11. Prime factorization of 9680 in exponential form is:

9680 = 24 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 9668 and 9680.

LCM(9668,9680) = 24 × 24171 × 51 × 112
LCM(9668,9680) = 23396560