What is the Least Common Multiple of 88320 and 88327?

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 88327 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 88327, than apply into the LCM equation.

GCF(88320,88327) = 1
LCM(88320,88327) = ( 88320 × 88327) / 1
LCM(88320,88327) = 7801040640 / 1
LCM(88320,88327) = 7801040640

Least Common Multiple (LCM) of 88320 and 88327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88320 and 88327. First we will calculate the prime factors of 88320 and 88327.

Prime Factorization of 88320

Prime Factorization of 88327

Now multiplying the highest exponent prime factors to calculate the LCM of 88320 and 88327.

LCM(88320,88327) = 2⁸ × 3¹ × 5¹ × 23¹ × 88327¹
LCM(88320,88327) = 7801040640