What is the Least Common Multiple of 88304 and 88309?

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 88304 and 88309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88304 and 88309, than apply into the LCM equation.

GCF(88304,88309) = 1
LCM(88304,88309) = ( 88304 × 88309) / 1
LCM(88304,88309) = 7798037936 / 1
LCM(88304,88309) = 7798037936

Least Common Multiple (LCM) of 88304 and 88309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88304 and 88309. First we will calculate the prime factors of 88304 and 88309.

Prime Factorization of 88304

Prime Factorization of 88309

Now multiplying the highest exponent prime factors to calculate the LCM of 88304 and 88309.

LCM(88304,88309) = 2⁴ × 5519¹ × 13¹ × 6793¹
LCM(88304,88309) = 7798037936