GCF and LCM Calculator Logo

What is the Least Common Multiple of 68909 and 68926?

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 68909 and 68926 is 4749621734.

LCM(68909,68926) = 4749621734

LCM Calculator and
and

Least Common Multiple of 68909 and 68926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68909 and 68926, than apply into the LCM equation.

GCF(68909,68926) = 1
LCM(68909,68926) = ( 68909 × 68926) / 1
LCM(68909,68926) = 4749621734 / 1
LCM(68909,68926) = 4749621734

Least Common Multiple (LCM) of 68909 and 68926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68909 and 68926. First we will calculate the prime factors of 68909 and 68926.

Prime Factorization of 68909

Prime factors of 68909 are 68909. Prime factorization of 68909 in exponential form is:

68909 = 689091

Prime Factorization of 68926

Prime factors of 68926 are 2, 11, 13, 241. Prime factorization of 68926 in exponential form is:

68926 = 21 × 111 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 68909 and 68926.

LCM(68909,68926) = 689091 × 21 × 111 × 131 × 2411
LCM(68909,68926) = 4749621734