GCF and LCM Calculator Logo

What is the Least Common Multiple of 67059 and 67069?

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 67059 and 67069 is 4497580071.

LCM(67059,67069) = 4497580071

LCM Calculator and
and

Least Common Multiple of 67059 and 67069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67059 and 67069, than apply into the LCM equation.

GCF(67059,67069) = 1
LCM(67059,67069) = ( 67059 × 67069) / 1
LCM(67059,67069) = 4497580071 / 1
LCM(67059,67069) = 4497580071

Least Common Multiple (LCM) of 67059 and 67069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67059 and 67069. First we will calculate the prime factors of 67059 and 67069.

Prime Factorization of 67059

Prime factors of 67059 are 3, 7451. Prime factorization of 67059 in exponential form is:

67059 = 32 × 74511

Prime Factorization of 67069

Prime factors of 67069 are 47, 1427. Prime factorization of 67069 in exponential form is:

67069 = 471 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 67059 and 67069.

LCM(67059,67069) = 32 × 74511 × 471 × 14271
LCM(67059,67069) = 4497580071