What is the Least Common Multiple of 18560 and 18571?

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 18560 and 18571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18560 and 18571, than apply into the LCM equation.

GCF(18560,18571) = 1
LCM(18560,18571) = ( 18560 × 18571) / 1
LCM(18560,18571) = 344677760 / 1
LCM(18560,18571) = 344677760

Least Common Multiple (LCM) of 18560 and 18571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18560 and 18571. First we will calculate the prime factors of 18560 and 18571.

Prime Factorization of 18560

Prime Factorization of 18571

Now multiplying the highest exponent prime factors to calculate the LCM of 18560 and 18571.

LCM(18560,18571) = 2⁷ × 5¹ × 29¹ × 7² × 379¹
LCM(18560,18571) = 344677760