What is the Least Common Multiple of 80504 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 80504 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 80504 and 80521, than apply into the LCM equation.

GCF(80504,80521) = 1
LCM(80504,80521) = ( 80504 × 80521) / 1
LCM(80504,80521) = 6482262584 / 1
LCM(80504,80521) = 6482262584

Least Common Multiple (LCM) of 80504 and 80521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80504 and 80521. First we will calculate the prime factors of 80504 and 80521.

Prime Factorization of 80504

Prime Factorization of 80521

Now multiplying the highest exponent prime factors to calculate the LCM of 80504 and 80521.

LCM(80504,80521) = 2³ × 29¹ × 347¹ × 7¹ × 11503¹
LCM(80504,80521) = 6482262584