What is the Least Common Multiple of 8470 and 8475?

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 8470 and 8475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8470 and 8475, than apply into the LCM equation.

GCF(8470,8475) = 5
LCM(8470,8475) = ( 8470 × 8475) / 5
LCM(8470,8475) = 71783250 / 5
LCM(8470,8475) = 14356650

Least Common Multiple (LCM) of 8470 and 8475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8470 and 8475. First we will calculate the prime factors of 8470 and 8475.

Prime Factorization of 8470

Prime Factorization of 8475

Now multiplying the highest exponent prime factors to calculate the LCM of 8470 and 8475.

LCM(8470,8475) = 2¹ × 5² × 7¹ × 11² × 3¹ × 113¹
LCM(8470,8475) = 14356650