GCF and LCM Calculator Logo

What is the Least Common Multiple of 14872 and 14886?

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 14872 and 14886 is 110692296.

LCM(14872,14886) = 110692296

LCM Calculator and
and

Least Common Multiple of 14872 and 14886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14872 and 14886, than apply into the LCM equation.

GCF(14872,14886) = 2
LCM(14872,14886) = ( 14872 × 14886) / 2
LCM(14872,14886) = 221384592 / 2
LCM(14872,14886) = 110692296

Least Common Multiple (LCM) of 14872 and 14886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14872 and 14886. First we will calculate the prime factors of 14872 and 14886.

Prime Factorization of 14872

Prime factors of 14872 are 2, 11, 13. Prime factorization of 14872 in exponential form is:

14872 = 23 × 111 × 132

Prime Factorization of 14886

Prime factors of 14886 are 2, 3, 827. Prime factorization of 14886 in exponential form is:

14886 = 21 × 32 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 14872 and 14886.

LCM(14872,14886) = 23 × 111 × 132 × 32 × 8271
LCM(14872,14886) = 110692296