What is the Least Common Multiple of 89504 and 89517?

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 89504 and 89517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89504 and 89517, than apply into the LCM equation.

GCF(89504,89517) = 1
LCM(89504,89517) = ( 89504 × 89517) / 1
LCM(89504,89517) = 8012129568 / 1
LCM(89504,89517) = 8012129568

Least Common Multiple (LCM) of 89504 and 89517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89504 and 89517. First we will calculate the prime factors of 89504 and 89517.

Prime Factorization of 89504

Prime Factorization of 89517

Now multiplying the highest exponent prime factors to calculate the LCM of 89504 and 89517.

LCM(89504,89517) = 2⁵ × 2797¹ × 3¹ × 53¹ × 563¹
LCM(89504,89517) = 8012129568