What is the Least Common Multiple of 80509 and 80520?

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 80509 and 80520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80509 and 80520, than apply into the LCM equation.

GCF(80509,80520) = 11
LCM(80509,80520) = ( 80509 × 80520) / 11
LCM(80509,80520) = 6482584680 / 11
LCM(80509,80520) = 589325880

Least Common Multiple (LCM) of 80509 and 80520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80509 and 80520. First we will calculate the prime factors of 80509 and 80520.

Prime Factorization of 80509

Prime Factorization of 80520

Now multiplying the highest exponent prime factors to calculate the LCM of 80509 and 80520.

LCM(80509,80520) = 11¹ × 13¹ × 563¹ × 2³ × 3¹ × 5¹ × 61¹
LCM(80509,80520) = 589325880