What is the Least Common Multiple of 80542 and 80558?

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 80542 and 80558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80542 and 80558, than apply into the LCM equation.

GCF(80542,80558) = 2
LCM(80542,80558) = ( 80542 × 80558) / 2
LCM(80542,80558) = 6488302436 / 2
LCM(80542,80558) = 3244151218

Least Common Multiple (LCM) of 80542 and 80558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80542 and 80558. First we will calculate the prime factors of 80542 and 80558.

Prime Factorization of 80542

Prime Factorization of 80558

Now multiplying the highest exponent prime factors to calculate the LCM of 80542 and 80558.

LCM(80542,80558) = 2¹ × 7¹ × 11¹ × 523¹ × 47¹ × 857¹
LCM(80542,80558) = 3244151218