What is the Least Common Multiple of 20554 and 20571?

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 20554 and 20571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20554 and 20571, than apply into the LCM equation.

GCF(20554,20571) = 1
LCM(20554,20571) = ( 20554 × 20571) / 1
LCM(20554,20571) = 422816334 / 1
LCM(20554,20571) = 422816334

Least Common Multiple (LCM) of 20554 and 20571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20554 and 20571. First we will calculate the prime factors of 20554 and 20571.

Prime Factorization of 20554

Prime Factorization of 20571

Now multiplying the highest exponent prime factors to calculate the LCM of 20554 and 20571.

LCM(20554,20571) = 2¹ × 43¹ × 239¹ × 3¹ × 6857¹
LCM(20554,20571) = 422816334