What is the Least Common Multiple of 20588 and 20608?

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 20588 and 20608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20588 and 20608, than apply into the LCM equation.

GCF(20588,20608) = 4
LCM(20588,20608) = ( 20588 × 20608) / 4
LCM(20588,20608) = 424277504 / 4
LCM(20588,20608) = 106069376

Least Common Multiple (LCM) of 20588 and 20608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20588 and 20608. First we will calculate the prime factors of 20588 and 20608.

Prime Factorization of 20588

Prime Factorization of 20608

Now multiplying the highest exponent prime factors to calculate the LCM of 20588 and 20608.

LCM(20588,20608) = 2⁷ × 5147¹ × 7¹ × 23¹
LCM(20588,20608) = 106069376