What is the Least Common Multiple of 69804 and 69810?

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 69804 and 69810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69804 and 69810, than apply into the LCM equation.

GCF(69804,69810) = 6
LCM(69804,69810) = ( 69804 × 69810) / 6
LCM(69804,69810) = 4873017240 / 6
LCM(69804,69810) = 812169540

Least Common Multiple (LCM) of 69804 and 69810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69804 and 69810. First we will calculate the prime factors of 69804 and 69810.

Prime Factorization of 69804

Prime Factorization of 69810

Now multiplying the highest exponent prime factors to calculate the LCM of 69804 and 69810.

LCM(69804,69810) = 2² × 3² × 7¹ × 277¹ × 5¹ × 13¹ × 179¹
LCM(69804,69810) = 812169540