What is the Least Common Multiple of 88320 and 88325?

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 88320 and 88325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88320 and 88325, than apply into the LCM equation.

GCF(88320,88325) = 5
LCM(88320,88325) = ( 88320 × 88325) / 5
LCM(88320,88325) = 7800864000 / 5
LCM(88320,88325) = 1560172800

Least Common Multiple (LCM) of 88320 and 88325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88320 and 88325. First we will calculate the prime factors of 88320 and 88325.

Prime Factorization of 88320

Prime Factorization of 88325

Now multiplying the highest exponent prime factors to calculate the LCM of 88320 and 88325.

LCM(88320,88325) = 2⁸ × 3¹ × 5² × 23¹ × 3533¹
LCM(88320,88325) = 1560172800