What is the Least Common Multiple of 85576 and 85593?

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 85576 and 85593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85576 and 85593, than apply into the LCM equation.

GCF(85576,85593) = 1
LCM(85576,85593) = ( 85576 × 85593) / 1
LCM(85576,85593) = 7324706568 / 1
LCM(85576,85593) = 7324706568

Least Common Multiple (LCM) of 85576 and 85593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85576 and 85593. First we will calculate the prime factors of 85576 and 85593.

Prime Factorization of 85576

Prime Factorization of 85593

Now multiplying the highest exponent prime factors to calculate the LCM of 85576 and 85593.

LCM(85576,85593) = 2³ × 19¹ × 563¹ × 3¹ × 103¹ × 277¹
LCM(85576,85593) = 7324706568