What is the Least Common Multiple of 69354 and 69371?

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 69354 and 69371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69354 and 69371, than apply into the LCM equation.

GCF(69354,69371) = 1
LCM(69354,69371) = ( 69354 × 69371) / 1
LCM(69354,69371) = 4811156334 / 1
LCM(69354,69371) = 4811156334

Least Common Multiple (LCM) of 69354 and 69371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69354 and 69371. First we will calculate the prime factors of 69354 and 69371.

Prime Factorization of 69354

Prime Factorization of 69371

Now multiplying the highest exponent prime factors to calculate the LCM of 69354 and 69371.

LCM(69354,69371) = 2¹ × 3² × 3853¹ × 69371¹
LCM(69354,69371) = 4811156334