GCF and LCM Calculator Logo

What is the Least Common Multiple of 66994 and 67007?

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 66994 and 67007 is 4489066958.

LCM(66994,67007) = 4489066958

LCM Calculator and
and

Least Common Multiple of 66994 and 67007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66994 and 67007, than apply into the LCM equation.

GCF(66994,67007) = 1
LCM(66994,67007) = ( 66994 × 67007) / 1
LCM(66994,67007) = 4489066958 / 1
LCM(66994,67007) = 4489066958

Least Common Multiple (LCM) of 66994 and 67007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66994 and 67007. First we will calculate the prime factors of 66994 and 67007.

Prime Factorization of 66994

Prime factors of 66994 are 2, 19, 41, 43. Prime factorization of 66994 in exponential form is:

66994 = 21 × 191 × 411 × 431

Prime Factorization of 67007

Prime factors of 67007 are 37, 1811. Prime factorization of 67007 in exponential form is:

67007 = 371 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 66994 and 67007.

LCM(66994,67007) = 21 × 191 × 411 × 431 × 371 × 18111
LCM(66994,67007) = 4489066958