What is the Least Common Multiple of 8370 and 8375?

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 8370 and 8375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8370 and 8375, than apply into the LCM equation.

GCF(8370,8375) = 5
LCM(8370,8375) = ( 8370 × 8375) / 5
LCM(8370,8375) = 70098750 / 5
LCM(8370,8375) = 14019750

Least Common Multiple (LCM) of 8370 and 8375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8375. First we will calculate the prime factors of 8370 and 8375.

Prime Factorization of 8370

Prime Factorization of 8375

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8375.

LCM(8370,8375) = 2¹ × 3³ × 5³ × 31¹ × 67¹
LCM(8370,8375) = 14019750