What is the Least Common Multiple of 84475 and 84490?

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 84475 and 84490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84475 and 84490, than apply into the LCM equation.

GCF(84475,84490) = 5
LCM(84475,84490) = ( 84475 × 84490) / 5
LCM(84475,84490) = 7137292750 / 5
LCM(84475,84490) = 1427458550

Least Common Multiple (LCM) of 84475 and 84490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84475 and 84490. First we will calculate the prime factors of 84475 and 84490.

Prime Factorization of 84475

Prime Factorization of 84490

Now multiplying the highest exponent prime factors to calculate the LCM of 84475 and 84490.

LCM(84475,84490) = 5² × 31¹ × 109¹ × 2¹ × 7¹ × 17¹ × 71¹
LCM(84475,84490) = 1427458550