GCF and LCM Calculator Logo

What is the Least Common Multiple of 18708 and 18726?

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 18708 and 18726 is 58387668.

LCM(18708,18726) = 58387668

LCM Calculator and
and

Least Common Multiple of 18708 and 18726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18708 and 18726, than apply into the LCM equation.

GCF(18708,18726) = 6
LCM(18708,18726) = ( 18708 × 18726) / 6
LCM(18708,18726) = 350326008 / 6
LCM(18708,18726) = 58387668

Least Common Multiple (LCM) of 18708 and 18726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18708 and 18726. First we will calculate the prime factors of 18708 and 18726.

Prime Factorization of 18708

Prime factors of 18708 are 2, 3, 1559. Prime factorization of 18708 in exponential form is:

18708 = 22 × 31 × 15591

Prime Factorization of 18726

Prime factors of 18726 are 2, 3, 3121. Prime factorization of 18726 in exponential form is:

18726 = 21 × 31 × 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 18708 and 18726.

LCM(18708,18726) = 22 × 31 × 15591 × 31211
LCM(18708,18726) = 58387668