GCF and LCM Calculator Logo

What is the Least Common Multiple of 68193 and 68205?

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 68193 and 68205 is 1550367855.

LCM(68193,68205) = 1550367855

LCM Calculator and
and

Least Common Multiple of 68193 and 68205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68193 and 68205, than apply into the LCM equation.

GCF(68193,68205) = 3
LCM(68193,68205) = ( 68193 × 68205) / 3
LCM(68193,68205) = 4651103565 / 3
LCM(68193,68205) = 1550367855

Least Common Multiple (LCM) of 68193 and 68205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68193 and 68205. First we will calculate the prime factors of 68193 and 68205.

Prime Factorization of 68193

Prime factors of 68193 are 3, 7577. Prime factorization of 68193 in exponential form is:

68193 = 32 × 75771

Prime Factorization of 68205

Prime factors of 68205 are 3, 5, 4547. Prime factorization of 68205 in exponential form is:

68205 = 31 × 51 × 45471

Now multiplying the highest exponent prime factors to calculate the LCM of 68193 and 68205.

LCM(68193,68205) = 32 × 75771 × 51 × 45471
LCM(68193,68205) = 1550367855