GCF and LCM Calculator Logo

What is the Least Common Multiple of 6658 and 6666?

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 6658 and 6666 is 22191114.

LCM(6658,6666) = 22191114

LCM Calculator and
and

Least Common Multiple of 6658 and 6666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6658 and 6666, than apply into the LCM equation.

GCF(6658,6666) = 2
LCM(6658,6666) = ( 6658 × 6666) / 2
LCM(6658,6666) = 44382228 / 2
LCM(6658,6666) = 22191114

Least Common Multiple (LCM) of 6658 and 6666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6658 and 6666. First we will calculate the prime factors of 6658 and 6666.

Prime Factorization of 6658

Prime factors of 6658 are 2, 3329. Prime factorization of 6658 in exponential form is:

6658 = 21 × 33291

Prime Factorization of 6666

Prime factors of 6666 are 2, 3, 11, 101. Prime factorization of 6666 in exponential form is:

6666 = 21 × 31 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6658 and 6666.

LCM(6658,6666) = 21 × 33291 × 31 × 111 × 1011
LCM(6658,6666) = 22191114