What is the Least Common Multiple of 80542 and 80556?

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 80556 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 80556, than apply into the LCM equation.

GCF(80542,80556) = 14
LCM(80542,80556) = ( 80542 × 80556) / 14
LCM(80542,80556) = 6488141352 / 14
LCM(80542,80556) = 463438668

Least Common Multiple (LCM) of 80542 and 80556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80542 and 80556. First we will calculate the prime factors of 80542 and 80556.

Prime Factorization of 80542

Prime Factorization of 80556

Now multiplying the highest exponent prime factors to calculate the LCM of 80542 and 80556.

LCM(80542,80556) = 2² × 7² × 11¹ × 523¹ × 3¹ × 137¹
LCM(80542,80556) = 463438668