What is the Least Common Multiple of 65565 and 65571?

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 65565 and 65571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65565 and 65571, than apply into the LCM equation.

GCF(65565,65571) = 3
LCM(65565,65571) = ( 65565 × 65571) / 3
LCM(65565,65571) = 4299162615 / 3
LCM(65565,65571) = 1433054205

Least Common Multiple (LCM) of 65565 and 65571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65565 and 65571. First we will calculate the prime factors of 65565 and 65571.

Prime Factorization of 65565

Prime Factorization of 65571

Now multiplying the highest exponent prime factors to calculate the LCM of 65565 and 65571.

LCM(65565,65571) = 3² × 5¹ × 31¹ × 47¹ × 11¹ × 1987¹
LCM(65565,65571) = 1433054205