What is the Least Common Multiple of 69696 and 69705?

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 69696 and 69705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69696 and 69705, than apply into the LCM equation.

GCF(69696,69705) = 9
LCM(69696,69705) = ( 69696 × 69705) / 9
LCM(69696,69705) = 4858159680 / 9
LCM(69696,69705) = 539795520

Least Common Multiple (LCM) of 69696 and 69705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69696 and 69705. First we will calculate the prime factors of 69696 and 69705.

Prime Factorization of 69696

Prime Factorization of 69705

Now multiplying the highest exponent prime factors to calculate the LCM of 69696 and 69705.

LCM(69696,69705) = 2⁶ × 3² × 11² × 5¹ × 1549¹
LCM(69696,69705) = 539795520