What is the Least Common Multiple of 87543 and 87563?

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 87543 and 87563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87543 and 87563, than apply into the LCM equation.

GCF(87543,87563) = 1
LCM(87543,87563) = ( 87543 × 87563) / 1
LCM(87543,87563) = 7665527709 / 1
LCM(87543,87563) = 7665527709

Least Common Multiple (LCM) of 87543 and 87563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87543 and 87563. First we will calculate the prime factors of 87543 and 87563.

Prime Factorization of 87543

Prime Factorization of 87563

Now multiplying the highest exponent prime factors to calculate the LCM of 87543 and 87563.

LCM(87543,87563) = 3² × 71¹ × 137¹ × 7² × 1787¹
LCM(87543,87563) = 7665527709