What is the Least Common Multiple of 82821 and 82830?

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 82830 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 82830, than apply into the LCM equation.

GCF(82821,82830) = 3
LCM(82821,82830) = ( 82821 × 82830) / 3
LCM(82821,82830) = 6860063430 / 3
LCM(82821,82830) = 2286687810

Least Common Multiple (LCM) of 82821 and 82830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82821 and 82830. First we will calculate the prime factors of 82821 and 82830.

Prime Factorization of 82821

Prime Factorization of 82830

Now multiplying the highest exponent prime factors to calculate the LCM of 82821 and 82830.

LCM(82821,82830) = 3¹ × 19¹ × 1453¹ × 2¹ × 5¹ × 11¹ × 251¹
LCM(82821,82830) = 2286687810