GCF and LCM Calculator Logo

What is the Least Common Multiple of 29868 and 29886?

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 29868 and 29886 is 148772508.

LCM(29868,29886) = 148772508

LCM Calculator and
and

Least Common Multiple of 29868 and 29886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29868 and 29886, than apply into the LCM equation.

GCF(29868,29886) = 6
LCM(29868,29886) = ( 29868 × 29886) / 6
LCM(29868,29886) = 892635048 / 6
LCM(29868,29886) = 148772508

Least Common Multiple (LCM) of 29868 and 29886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29868 and 29886. First we will calculate the prime factors of 29868 and 29886.

Prime Factorization of 29868

Prime factors of 29868 are 2, 3, 19, 131. Prime factorization of 29868 in exponential form is:

29868 = 22 × 31 × 191 × 1311

Prime Factorization of 29886

Prime factors of 29886 are 2, 3, 17, 293. Prime factorization of 29886 in exponential form is:

29886 = 21 × 31 × 171 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 29868 and 29886.

LCM(29868,29886) = 22 × 31 × 191 × 1311 × 171 × 2931
LCM(29868,29886) = 148772508