What is the Least Common Multiple of 69068 and 69078?

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 69068 and 69078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69068 and 69078, than apply into the LCM equation.

GCF(69068,69078) = 2
LCM(69068,69078) = ( 69068 × 69078) / 2
LCM(69068,69078) = 4771079304 / 2
LCM(69068,69078) = 2385539652

Least Common Multiple (LCM) of 69068 and 69078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69068 and 69078. First we will calculate the prime factors of 69068 and 69078.

Prime Factorization of 69068

Prime Factorization of 69078

Now multiplying the highest exponent prime factors to calculate the LCM of 69068 and 69078.

LCM(69068,69078) = 2² × 31¹ × 557¹ × 3¹ × 29¹ × 397¹
LCM(69068,69078) = 2385539652