What is the Least Common Multiple of 66470 and 66474?

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 66474 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 66474, than apply into the LCM equation.

GCF(66470,66474) = 2
LCM(66470,66474) = ( 66470 × 66474) / 2
LCM(66470,66474) = 4418526780 / 2
LCM(66470,66474) = 2209263390

Least Common Multiple (LCM) of 66470 and 66474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66470 and 66474. First we will calculate the prime factors of 66470 and 66474.

Prime Factorization of 66470

Prime Factorization of 66474

Now multiplying the highest exponent prime factors to calculate the LCM of 66470 and 66474.

LCM(66470,66474) = 2¹ × 5¹ × 17² × 23¹ × 3³ × 1231¹
LCM(66470,66474) = 2209263390