What is the Least Common Multiple of 69468 and 69487?

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 69468 and 69487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69468 and 69487, than apply into the LCM equation.

GCF(69468,69487) = 1
LCM(69468,69487) = ( 69468 × 69487) / 1
LCM(69468,69487) = 4827122916 / 1
LCM(69468,69487) = 4827122916

Least Common Multiple (LCM) of 69468 and 69487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69468 and 69487. First we will calculate the prime factors of 69468 and 69487.

Prime Factorization of 69468

Prime Factorization of 69487

Now multiplying the highest exponent prime factors to calculate the LCM of 69468 and 69487.

LCM(69468,69487) = 2² × 3¹ × 7¹ × 827¹ × 11¹ × 6317¹
LCM(69468,69487) = 4827122916