What is the Least Common Multiple of 42557 and 42563?

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 42557 and 42563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42557 and 42563, than apply into the LCM equation.

GCF(42557,42563) = 1
LCM(42557,42563) = ( 42557 × 42563) / 1
LCM(42557,42563) = 1811353591 / 1
LCM(42557,42563) = 1811353591

Least Common Multiple (LCM) of 42557 and 42563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42557 and 42563. First we will calculate the prime factors of 42557 and 42563.

Prime Factorization of 42557

Prime Factorization of 42563

Now multiplying the highest exponent prime factors to calculate the LCM of 42557 and 42563.

LCM(42557,42563) = 42557¹ × 31¹ × 1373¹
LCM(42557,42563) = 1811353591