What is the Least Common Multiple of 80505 and 80521?

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 80505 and 80521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80505 and 80521, than apply into the LCM equation.

GCF(80505,80521) = 1
LCM(80505,80521) = ( 80505 × 80521) / 1
LCM(80505,80521) = 6482343105 / 1
LCM(80505,80521) = 6482343105

Least Common Multiple (LCM) of 80505 and 80521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80505 and 80521. First we will calculate the prime factors of 80505 and 80521.

Prime Factorization of 80505

Prime Factorization of 80521

Now multiplying the highest exponent prime factors to calculate the LCM of 80505 and 80521.

LCM(80505,80521) = 3² × 5¹ × 1789¹ × 7¹ × 11503¹
LCM(80505,80521) = 6482343105