What is the Least Common Multiple of 8475 and 8490?

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 8490 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 8490, than apply into the LCM equation.

GCF(8475,8490) = 15
LCM(8475,8490) = ( 8475 × 8490) / 15
LCM(8475,8490) = 71952750 / 15
LCM(8475,8490) = 4796850

Least Common Multiple (LCM) of 8475 and 8490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8475 and 8490. First we will calculate the prime factors of 8475 and 8490.

Prime Factorization of 8475

Prime Factorization of 8490

Now multiplying the highest exponent prime factors to calculate the LCM of 8475 and 8490.

LCM(8475,8490) = 3¹ × 5² × 113¹ × 2¹ × 283¹
LCM(8475,8490) = 4796850