What is the Least Common Multiple of 68022 and 68038?

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 68022 and 68038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68022 and 68038, than apply into the LCM equation.

GCF(68022,68038) = 2
LCM(68022,68038) = ( 68022 × 68038) / 2
LCM(68022,68038) = 4628080836 / 2
LCM(68022,68038) = 2314040418

Least Common Multiple (LCM) of 68022 and 68038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68022 and 68038. First we will calculate the prime factors of 68022 and 68038.

Prime Factorization of 68022

Prime Factorization of 68038

Now multiplying the highest exponent prime factors to calculate the LCM of 68022 and 68038.

LCM(68022,68038) = 2¹ × 3² × 3779¹ × 34019¹
LCM(68022,68038) = 2314040418