What is the Least Common Multiple of 29552 and 29571?

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 29552 and 29571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29552 and 29571, than apply into the LCM equation.

GCF(29552,29571) = 1
LCM(29552,29571) = ( 29552 × 29571) / 1
LCM(29552,29571) = 873882192 / 1
LCM(29552,29571) = 873882192

Least Common Multiple (LCM) of 29552 and 29571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29552 and 29571. First we will calculate the prime factors of 29552 and 29571.

Prime Factorization of 29552

Prime Factorization of 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 29552 and 29571.

LCM(29552,29571) = 2⁴ × 1847¹ × 3¹ × 9857¹
LCM(29552,29571) = 873882192