What is the Least Common Multiple of 71568 and 71586?

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 71568 and 71586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71568 and 71586, than apply into the LCM equation.

GCF(71568,71586) = 18
LCM(71568,71586) = ( 71568 × 71586) / 18
LCM(71568,71586) = 5123266848 / 18
LCM(71568,71586) = 284625936

Least Common Multiple (LCM) of 71568 and 71586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71568 and 71586. First we will calculate the prime factors of 71568 and 71586.

Prime Factorization of 71568

Prime Factorization of 71586

Now multiplying the highest exponent prime factors to calculate the LCM of 71568 and 71586.

LCM(71568,71586) = 2⁴ × 3² × 7¹ × 71¹ × 41¹ × 97¹
LCM(71568,71586) = 284625936