What is the Least Common Multiple of 15568 and 15575?

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 15568 and 15575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15568 and 15575, than apply into the LCM equation.

GCF(15568,15575) = 7
LCM(15568,15575) = ( 15568 × 15575) / 7
LCM(15568,15575) = 242471600 / 7
LCM(15568,15575) = 34638800

Least Common Multiple (LCM) of 15568 and 15575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15568 and 15575. First we will calculate the prime factors of 15568 and 15575.

Prime Factorization of 15568

Prime Factorization of 15575

Now multiplying the highest exponent prime factors to calculate the LCM of 15568 and 15575.

LCM(15568,15575) = 2⁴ × 7¹ × 139¹ × 5² × 89¹
LCM(15568,15575) = 34638800