What is the Least Common Multiple of 82821 and 82827?

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 82821 and 82827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82821 and 82827, than apply into the LCM equation.

GCF(82821,82827) = 3
LCM(82821,82827) = ( 82821 × 82827) / 3
LCM(82821,82827) = 6859814967 / 3
LCM(82821,82827) = 2286604989

Least Common Multiple (LCM) of 82821 and 82827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82821 and 82827. First we will calculate the prime factors of 82821 and 82827.

Prime Factorization of 82821

Prime Factorization of 82827

Now multiplying the highest exponent prime factors to calculate the LCM of 82821 and 82827.

LCM(82821,82827) = 3² × 19¹ × 1453¹ × 9203¹
LCM(82821,82827) = 2286604989