GCF and LCM Calculator Logo

What is the Least Common Multiple of 68036 and 68046?

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 68036 and 68046 is 2314788828.

LCM(68036,68046) = 2314788828

LCM Calculator and
and

Least Common Multiple of 68036 and 68046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68036 and 68046, than apply into the LCM equation.

GCF(68036,68046) = 2
LCM(68036,68046) = ( 68036 × 68046) / 2
LCM(68036,68046) = 4629577656 / 2
LCM(68036,68046) = 2314788828

Least Common Multiple (LCM) of 68036 and 68046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68036 and 68046. First we will calculate the prime factors of 68036 and 68046.

Prime Factorization of 68036

Prime factors of 68036 are 2, 73, 233. Prime factorization of 68036 in exponential form is:

68036 = 22 × 731 × 2331

Prime Factorization of 68046

Prime factors of 68046 are 2, 3, 11, 1031. Prime factorization of 68046 in exponential form is:

68046 = 21 × 31 × 111 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 68036 and 68046.

LCM(68036,68046) = 22 × 731 × 2331 × 31 × 111 × 10311
LCM(68036,68046) = 2314788828