What is the Least Common Multiple of 82875 and 82892?

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 82875 and 82892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82875 and 82892, than apply into the LCM equation.

GCF(82875,82892) = 17
LCM(82875,82892) = ( 82875 × 82892) / 17
LCM(82875,82892) = 6869674500 / 17
LCM(82875,82892) = 404098500

Least Common Multiple (LCM) of 82875 and 82892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82875 and 82892. First we will calculate the prime factors of 82875 and 82892.

Prime Factorization of 82875

Prime Factorization of 82892

Now multiplying the highest exponent prime factors to calculate the LCM of 82875 and 82892.

LCM(82875,82892) = 3¹ × 5³ × 13¹ × 17¹ × 2² × 23¹ × 53¹
LCM(82875,82892) = 404098500