GCF and LCM Calculator Logo

What is the Least Common Multiple of 67994 and 68005?

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 67994 and 68005 is 4623931970.

LCM(67994,68005) = 4623931970

LCM Calculator and
and

Least Common Multiple of 67994 and 68005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67994 and 68005, than apply into the LCM equation.

GCF(67994,68005) = 1
LCM(67994,68005) = ( 67994 × 68005) / 1
LCM(67994,68005) = 4623931970 / 1
LCM(67994,68005) = 4623931970

Least Common Multiple (LCM) of 67994 and 68005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67994 and 68005. First we will calculate the prime factors of 67994 and 68005.

Prime Factorization of 67994

Prime factors of 67994 are 2, 33997. Prime factorization of 67994 in exponential form is:

67994 = 21 × 339971

Prime Factorization of 68005

Prime factors of 68005 are 5, 7, 29, 67. Prime factorization of 68005 in exponential form is:

68005 = 51 × 71 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 67994 and 68005.

LCM(67994,68005) = 21 × 339971 × 51 × 71 × 291 × 671
LCM(67994,68005) = 4623931970