What is the Least Common Multiple of 71568 and 71575?

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 71575 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 71575, than apply into the LCM equation.

GCF(71568,71575) = 7
LCM(71568,71575) = ( 71568 × 71575) / 7
LCM(71568,71575) = 5122479600 / 7
LCM(71568,71575) = 731782800

Least Common Multiple (LCM) of 71568 and 71575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71568 and 71575. First we will calculate the prime factors of 71568 and 71575.

Prime Factorization of 71568

Prime Factorization of 71575

Now multiplying the highest exponent prime factors to calculate the LCM of 71568 and 71575.

LCM(71568,71575) = 2⁴ × 3² × 7¹ × 71¹ × 5² × 409¹
LCM(71568,71575) = 731782800