What is the Least Common Multiple of 80523 and 80540?

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 80523 and 80540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80523 and 80540, than apply into the LCM equation.

GCF(80523,80540) = 1
LCM(80523,80540) = ( 80523 × 80540) / 1
LCM(80523,80540) = 6485322420 / 1
LCM(80523,80540) = 6485322420

Least Common Multiple (LCM) of 80523 and 80540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80523 and 80540. First we will calculate the prime factors of 80523 and 80540.

Prime Factorization of 80523

Prime Factorization of 80540

Now multiplying the highest exponent prime factors to calculate the LCM of 80523 and 80540.

LCM(80523,80540) = 3² × 23¹ × 389¹ × 2² × 5¹ × 4027¹
LCM(80523,80540) = 6485322420