What is the Least Common Multiple of 69435 and 69444?

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 69435 and 69444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69435 and 69444, than apply into the LCM equation.

GCF(69435,69444) = 9
LCM(69435,69444) = ( 69435 × 69444) / 9
LCM(69435,69444) = 4821844140 / 9
LCM(69435,69444) = 535760460

Least Common Multiple (LCM) of 69435 and 69444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69435 and 69444. First we will calculate the prime factors of 69435 and 69444.

Prime Factorization of 69435

Prime Factorization of 69444

Now multiplying the highest exponent prime factors to calculate the LCM of 69435 and 69444.

LCM(69435,69444) = 3³ × 5¹ × 1543¹ × 2² × 643¹
LCM(69435,69444) = 535760460