GCF and LCM Calculator Logo

What is the Least Common Multiple of 68829 and 68838?

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 68829 and 68838 is 1579350234.

LCM(68829,68838) = 1579350234

LCM Calculator and
and

Least Common Multiple of 68829 and 68838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68829 and 68838, than apply into the LCM equation.

GCF(68829,68838) = 3
LCM(68829,68838) = ( 68829 × 68838) / 3
LCM(68829,68838) = 4738050702 / 3
LCM(68829,68838) = 1579350234

Least Common Multiple (LCM) of 68829 and 68838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68829 and 68838. First we will calculate the prime factors of 68829 and 68838.

Prime Factorization of 68829

Prime factors of 68829 are 3, 22943. Prime factorization of 68829 in exponential form is:

68829 = 31 × 229431

Prime Factorization of 68838

Prime factors of 68838 are 2, 3, 7, 11, 149. Prime factorization of 68838 in exponential form is:

68838 = 21 × 31 × 71 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 68829 and 68838.

LCM(68829,68838) = 31 × 229431 × 21 × 71 × 111 × 1491
LCM(68829,68838) = 1579350234