What is the Least Common Multiple of 80543 and 80561?

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 80543 and 80561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80543 and 80561, than apply into the LCM equation.

GCF(80543,80561) = 1
LCM(80543,80561) = ( 80543 × 80561) / 1
LCM(80543,80561) = 6488624623 / 1
LCM(80543,80561) = 6488624623

Least Common Multiple (LCM) of 80543 and 80561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80543 and 80561. First we will calculate the prime factors of 80543 and 80561.

Prime Factorization of 80543

Prime Factorization of 80561

Now multiplying the highest exponent prime factors to calculate the LCM of 80543 and 80561.

LCM(80543,80561) = 239¹ × 337¹ × 13¹ × 6197¹
LCM(80543,80561) = 6488624623