What is the Least Common Multiple of 82549 and 82569?

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 82549 and 82569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82549 and 82569, than apply into the LCM equation.

GCF(82549,82569) = 1
LCM(82549,82569) = ( 82549 × 82569) / 1
LCM(82549,82569) = 6815988381 / 1
LCM(82549,82569) = 6815988381

Least Common Multiple (LCM) of 82549 and 82569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82549 and 82569. First we will calculate the prime factors of 82549 and 82569.

Prime Factorization of 82549

Prime Factorization of 82569

Now multiplying the highest exponent prime factors to calculate the LCM of 82549 and 82569.

LCM(82549,82569) = 82549¹ × 3¹ × 17¹ × 1619¹
LCM(82549,82569) = 6815988381