What is the Least Common Multiple of 80516 and 80522?

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 80516 and 80522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80516 and 80522, than apply into the LCM equation.

GCF(80516,80522) = 2
LCM(80516,80522) = ( 80516 × 80522) / 2
LCM(80516,80522) = 6483309352 / 2
LCM(80516,80522) = 3241654676

Least Common Multiple (LCM) of 80516 and 80522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80516 and 80522. First we will calculate the prime factors of 80516 and 80522.

Prime Factorization of 80516

Prime Factorization of 80522

Now multiplying the highest exponent prime factors to calculate the LCM of 80516 and 80522.

LCM(80516,80522) = 2² × 20129¹ × 13¹ × 19¹ × 163¹
LCM(80516,80522) = 3241654676