GCF and LCM Calculator Logo

What is the Least Common Multiple of 4006 and 4014?

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 4006 and 4014 is 8040042.

LCM(4006,4014) = 8040042

LCM Calculator and
and

Least Common Multiple of 4006 and 4014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4006 and 4014, than apply into the LCM equation.

GCF(4006,4014) = 2
LCM(4006,4014) = ( 4006 × 4014) / 2
LCM(4006,4014) = 16080084 / 2
LCM(4006,4014) = 8040042

Least Common Multiple (LCM) of 4006 and 4014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4006 and 4014. First we will calculate the prime factors of 4006 and 4014.

Prime Factorization of 4006

Prime factors of 4006 are 2, 2003. Prime factorization of 4006 in exponential form is:

4006 = 21 × 20031

Prime Factorization of 4014

Prime factors of 4014 are 2, 3, 223. Prime factorization of 4014 in exponential form is:

4014 = 21 × 32 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4006 and 4014.

LCM(4006,4014) = 21 × 20031 × 32 × 2231
LCM(4006,4014) = 8040042