GCF and LCM Calculator Logo

What is the Least Common Multiple of 66907 and 66912?

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 66907 and 66912 is 4476881184.

LCM(66907,66912) = 4476881184

LCM Calculator and
and

Least Common Multiple of 66907 and 66912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66907 and 66912, than apply into the LCM equation.

GCF(66907,66912) = 1
LCM(66907,66912) = ( 66907 × 66912) / 1
LCM(66907,66912) = 4476881184 / 1
LCM(66907,66912) = 4476881184

Least Common Multiple (LCM) of 66907 and 66912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66907 and 66912. First we will calculate the prime factors of 66907 and 66912.

Prime Factorization of 66907

Prime factors of 66907 are 23, 2909. Prime factorization of 66907 in exponential form is:

66907 = 231 × 29091

Prime Factorization of 66912

Prime factors of 66912 are 2, 3, 17, 41. Prime factorization of 66912 in exponential form is:

66912 = 25 × 31 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 66907 and 66912.

LCM(66907,66912) = 231 × 29091 × 25 × 31 × 171 × 411
LCM(66907,66912) = 4476881184