What is the Least Common Multiple of 8470 and 8488?

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 8470 and 8488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8470 and 8488, than apply into the LCM equation.

GCF(8470,8488) = 2
LCM(8470,8488) = ( 8470 × 8488) / 2
LCM(8470,8488) = 71893360 / 2
LCM(8470,8488) = 35946680

Least Common Multiple (LCM) of 8470 and 8488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8470 and 8488. First we will calculate the prime factors of 8470 and 8488.

Prime Factorization of 8470

Prime Factorization of 8488

Now multiplying the highest exponent prime factors to calculate the LCM of 8470 and 8488.

LCM(8470,8488) = 2³ × 5¹ × 7¹ × 11² × 1061¹
LCM(8470,8488) = 35946680