What is the Least Common Multiple of 8475 and 8484?

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 8475 and 8484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8475 and 8484, than apply into the LCM equation.

GCF(8475,8484) = 3
LCM(8475,8484) = ( 8475 × 8484) / 3
LCM(8475,8484) = 71901900 / 3
LCM(8475,8484) = 23967300

Least Common Multiple (LCM) of 8475 and 8484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8475 and 8484. First we will calculate the prime factors of 8475 and 8484.

Prime Factorization of 8475

Prime Factorization of 8484

Now multiplying the highest exponent prime factors to calculate the LCM of 8475 and 8484.

LCM(8475,8484) = 3¹ × 5² × 113¹ × 2² × 7¹ × 101¹
LCM(8475,8484) = 23967300