What is the Least Common Multiple of 68314 and 68321?

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 of 68314 and 68321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68314 and 68321, than apply into the LCM equation.

GCF(68314,68321) = 1
LCM(68314,68321) = ( 68314 × 68321) / 1
LCM(68314,68321) = 4667280794 / 1
LCM(68314,68321) = 4667280794

Least Common Multiple (LCM) of 68314 and 68321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68314 and 68321. First we will calculate the prime factors of 68314 and 68321.

Prime Factorization of 68314

Prime Factorization of 68321

Now multiplying the highest exponent prime factors to calculate the LCM of 68314 and 68321.

LCM(68314,68321) = 2¹ × 34157¹ × 11¹ × 6211¹
LCM(68314,68321) = 4667280794