What is the Least Common Multiple of 69304 and 69324?

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 69304 and 69324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69304 and 69324, than apply into the LCM equation.

GCF(69304,69324) = 4
LCM(69304,69324) = ( 69304 × 69324) / 4
LCM(69304,69324) = 4804430496 / 4
LCM(69304,69324) = 1201107624

Least Common Multiple (LCM) of 69304 and 69324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69304 and 69324. First we will calculate the prime factors of 69304 and 69324.

Prime Factorization of 69304

Prime Factorization of 69324

Now multiplying the highest exponent prime factors to calculate the LCM of 69304 and 69324.

LCM(69304,69324) = 2³ × 8663¹ × 3¹ × 53¹ × 109¹
LCM(69304,69324) = 1201107624