GCF and LCM Calculator Logo

What is the Least Common Multiple of 68391 and 68397?

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 68391 and 68397 is 1559246409.

LCM(68391,68397) = 1559246409

LCM Calculator and
and

Least Common Multiple of 68391 and 68397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68391 and 68397, than apply into the LCM equation.

GCF(68391,68397) = 3
LCM(68391,68397) = ( 68391 × 68397) / 3
LCM(68391,68397) = 4677739227 / 3
LCM(68391,68397) = 1559246409

Least Common Multiple (LCM) of 68391 and 68397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68391 and 68397. First we will calculate the prime factors of 68391 and 68397.

Prime Factorization of 68391

Prime factors of 68391 are 3, 17, 149. Prime factorization of 68391 in exponential form is:

68391 = 33 × 171 × 1491

Prime Factorization of 68397

Prime factors of 68397 are 3, 7, 3257. Prime factorization of 68397 in exponential form is:

68397 = 31 × 71 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 68391 and 68397.

LCM(68391,68397) = 33 × 171 × 1491 × 71 × 32571
LCM(68391,68397) = 1559246409