What is the Least Common Multiple of 42563 and 42571?

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 42563 and 42571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42563 and 42571, than apply into the LCM equation.

GCF(42563,42571) = 1
LCM(42563,42571) = ( 42563 × 42571) / 1
LCM(42563,42571) = 1811949473 / 1
LCM(42563,42571) = 1811949473

Least Common Multiple (LCM) of 42563 and 42571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42563 and 42571. First we will calculate the prime factors of 42563 and 42571.

Prime Factorization of 42563

Prime Factorization of 42571

Now multiplying the highest exponent prime factors to calculate the LCM of 42563 and 42571.

LCM(42563,42571) = 31¹ × 1373¹ × 42571¹
LCM(42563,42571) = 1811949473