GCF and LCM Calculator Logo

What is the Least Common Multiple of 8660 and 8668?

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 8660 and 8668 is 18766220.

LCM(8660,8668) = 18766220

LCM Calculator and
and

Least Common Multiple of 8660 and 8668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8660 and 8668, than apply into the LCM equation.

GCF(8660,8668) = 4
LCM(8660,8668) = ( 8660 × 8668) / 4
LCM(8660,8668) = 75064880 / 4
LCM(8660,8668) = 18766220

Least Common Multiple (LCM) of 8660 and 8668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8660 and 8668. First we will calculate the prime factors of 8660 and 8668.

Prime Factorization of 8660

Prime factors of 8660 are 2, 5, 433. Prime factorization of 8660 in exponential form is:

8660 = 22 × 51 × 4331

Prime Factorization of 8668

Prime factors of 8668 are 2, 11, 197. Prime factorization of 8668 in exponential form is:

8668 = 22 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8660 and 8668.

LCM(8660,8668) = 22 × 51 × 4331 × 111 × 1971
LCM(8660,8668) = 18766220