What is the Least Common Multiple of 66470 and 66488?

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 66488 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 66488, than apply into the LCM equation.

GCF(66470,66488) = 2
LCM(66470,66488) = ( 66470 × 66488) / 2
LCM(66470,66488) = 4419457360 / 2
LCM(66470,66488) = 2209728680

Least Common Multiple (LCM) of 66470 and 66488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66470 and 66488. First we will calculate the prime factors of 66470 and 66488.

Prime Factorization of 66470

Prime Factorization of 66488

Now multiplying the highest exponent prime factors to calculate the LCM of 66470 and 66488.

LCM(66470,66488) = 2³ × 5¹ × 17² × 23¹ × 8311¹
LCM(66470,66488) = 2209728680