GCF and LCM Calculator Logo

What is the Least Common Multiple of 66008 and 66014?

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 66008 and 66014 is 2178726056.

LCM(66008,66014) = 2178726056

LCM Calculator and
and

Least Common Multiple of 66008 and 66014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66008 and 66014, than apply into the LCM equation.

GCF(66008,66014) = 2
LCM(66008,66014) = ( 66008 × 66014) / 2
LCM(66008,66014) = 4357452112 / 2
LCM(66008,66014) = 2178726056

Least Common Multiple (LCM) of 66008 and 66014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66008 and 66014. First we will calculate the prime factors of 66008 and 66014.

Prime Factorization of 66008

Prime factors of 66008 are 2, 37, 223. Prime factorization of 66008 in exponential form is:

66008 = 23 × 371 × 2231

Prime Factorization of 66014

Prime factors of 66014 are 2, 13, 2539. Prime factorization of 66014 in exponential form is:

66014 = 21 × 131 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 66008 and 66014.

LCM(66008,66014) = 23 × 371 × 2231 × 131 × 25391
LCM(66008,66014) = 2178726056