What is the Least Common Multiple of 68300 and 68314?

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 68300 and 68314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68300 and 68314, than apply into the LCM equation.

GCF(68300,68314) = 2
LCM(68300,68314) = ( 68300 × 68314) / 2
LCM(68300,68314) = 4665846200 / 2
LCM(68300,68314) = 2332923100

Least Common Multiple (LCM) of 68300 and 68314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68300 and 68314. First we will calculate the prime factors of 68300 and 68314.

Prime Factorization of 68300

Prime Factorization of 68314

Now multiplying the highest exponent prime factors to calculate the LCM of 68300 and 68314.

LCM(68300,68314) = 2² × 5² × 683¹ × 34157¹
LCM(68300,68314) = 2332923100