What is the Least Common Multiple of 80512 and 80532?

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 80512 and 80532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80512 and 80532, than apply into the LCM equation.

GCF(80512,80532) = 4
LCM(80512,80532) = ( 80512 × 80532) / 4
LCM(80512,80532) = 6483792384 / 4
LCM(80512,80532) = 1620948096

Least Common Multiple (LCM) of 80512 and 80532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80512 and 80532. First we will calculate the prime factors of 80512 and 80532.

Prime Factorization of 80512

Prime Factorization of 80532

Now multiplying the highest exponent prime factors to calculate the LCM of 80512 and 80532.

LCM(80512,80532) = 2⁷ × 17¹ × 37¹ × 3² × 2237¹
LCM(80512,80532) = 1620948096