What is the Least Common Multiple of 69664 and 69683?

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 69664 and 69683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69664 and 69683, than apply into the LCM equation.

GCF(69664,69683) = 1
LCM(69664,69683) = ( 69664 × 69683) / 1
LCM(69664,69683) = 4854396512 / 1
LCM(69664,69683) = 4854396512

Least Common Multiple (LCM) of 69664 and 69683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69664 and 69683. First we will calculate the prime factors of 69664 and 69683.

Prime Factorization of 69664

Prime Factorization of 69683

Now multiplying the highest exponent prime factors to calculate the LCM of 69664 and 69683.

LCM(69664,69683) = 2⁵ × 7¹ × 311¹ × 17¹ × 4099¹
LCM(69664,69683) = 4854396512