What is the Least Common Multiple of 8320 and 8325?

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 8320 and 8325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8320 and 8325, than apply into the LCM equation.

GCF(8320,8325) = 5
LCM(8320,8325) = ( 8320 × 8325) / 5
LCM(8320,8325) = 69264000 / 5
LCM(8320,8325) = 13852800

Least Common Multiple (LCM) of 8320 and 8325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8320 and 8325. First we will calculate the prime factors of 8320 and 8325.

Prime Factorization of 8320

Prime Factorization of 8325

Now multiplying the highest exponent prime factors to calculate the LCM of 8320 and 8325.

LCM(8320,8325) = 2⁷ × 5² × 13¹ × 3² × 37¹
LCM(8320,8325) = 13852800