What is the Least Common Multiple of 69801 and 69817?

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 69801 and 69817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69801 and 69817, than apply into the LCM equation.

GCF(69801,69817) = 1
LCM(69801,69817) = ( 69801 × 69817) / 1
LCM(69801,69817) = 4873296417 / 1
LCM(69801,69817) = 4873296417

Least Common Multiple (LCM) of 69801 and 69817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69801 and 69817. First we will calculate the prime factors of 69801 and 69817.

Prime Factorization of 69801

Prime Factorization of 69817

Now multiplying the highest exponent prime factors to calculate the LCM of 69801 and 69817.

LCM(69801,69817) = 3¹ × 53¹ × 439¹ × 11² × 577¹
LCM(69801,69817) = 4873296417