What is the Least Common Multiple of 80552 and 80569?

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 80552 and 80569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80552 and 80569, than apply into the LCM equation.

GCF(80552,80569) = 1
LCM(80552,80569) = ( 80552 × 80569) / 1
LCM(80552,80569) = 6489994088 / 1
LCM(80552,80569) = 6489994088

Least Common Multiple (LCM) of 80552 and 80569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80552 and 80569. First we will calculate the prime factors of 80552 and 80569.

Prime Factorization of 80552

Prime Factorization of 80569

Now multiplying the highest exponent prime factors to calculate the LCM of 80552 and 80569.

LCM(80552,80569) = 2³ × 10069¹ × 23¹ × 31¹ × 113¹
LCM(80552,80569) = 6489994088