What is the Least Common Multiple of 69999 and 70017?

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 69999 and 70017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69999 and 70017, than apply into the LCM equation.

GCF(69999,70017) = 3
LCM(69999,70017) = ( 69999 × 70017) / 3
LCM(69999,70017) = 4901119983 / 3
LCM(69999,70017) = 1633706661

Least Common Multiple (LCM) of 69999 and 70017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69999 and 70017. First we will calculate the prime factors of 69999 and 70017.

Prime Factorization of 69999

Prime Factorization of 70017

Now multiplying the highest exponent prime factors to calculate the LCM of 69999 and 70017.

LCM(69999,70017) = 3¹ × 23333¹ × 23339¹
LCM(69999,70017) = 1633706661