What is the Least Common Multiple of 66470 and 66487?

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 66470 and 66487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66470 and 66487, than apply into the LCM equation.

GCF(66470,66487) = 17
LCM(66470,66487) = ( 66470 × 66487) / 17
LCM(66470,66487) = 4419390890 / 17
LCM(66470,66487) = 259964170

Least Common Multiple (LCM) of 66470 and 66487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66470 and 66487. First we will calculate the prime factors of 66470 and 66487.

Prime Factorization of 66470

Prime Factorization of 66487

Now multiplying the highest exponent prime factors to calculate the LCM of 66470 and 66487.

LCM(66470,66487) = 2¹ × 5¹ × 17² × 23¹ × 3911¹
LCM(66470,66487) = 259964170