What is the Least Common Multiple of 80508 and 80523?

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 80508 and 80523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80508 and 80523, than apply into the LCM equation.

GCF(80508,80523) = 3
LCM(80508,80523) = ( 80508 × 80523) / 3
LCM(80508,80523) = 6482745684 / 3
LCM(80508,80523) = 2160915228

Least Common Multiple (LCM) of 80508 and 80523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80508 and 80523. First we will calculate the prime factors of 80508 and 80523.

Prime Factorization of 80508

Prime Factorization of 80523

Now multiplying the highest exponent prime factors to calculate the LCM of 80508 and 80523.

LCM(80508,80523) = 2² × 3² × 6709¹ × 23¹ × 389¹
LCM(80508,80523) = 2160915228