GCF and LCM Calculator Logo

What is the Least Common Multiple of 6708 and 6726?

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 6708 and 6726 is 7519668.

LCM(6708,6726) = 7519668

LCM Calculator and
and

Least Common Multiple of 6708 and 6726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6708 and 6726, than apply into the LCM equation.

GCF(6708,6726) = 6
LCM(6708,6726) = ( 6708 × 6726) / 6
LCM(6708,6726) = 45118008 / 6
LCM(6708,6726) = 7519668

Least Common Multiple (LCM) of 6708 and 6726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6708 and 6726. First we will calculate the prime factors of 6708 and 6726.

Prime Factorization of 6708

Prime factors of 6708 are 2, 3, 13, 43. Prime factorization of 6708 in exponential form is:

6708 = 22 × 31 × 131 × 431

Prime Factorization of 6726

Prime factors of 6726 are 2, 3, 19, 59. Prime factorization of 6726 in exponential form is:

6726 = 21 × 31 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 6708 and 6726.

LCM(6708,6726) = 22 × 31 × 131 × 431 × 191 × 591
LCM(6708,6726) = 7519668