What is the Least Common Multiple of 82914 and 82932?

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 82914 and 82932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82914 and 82932, than apply into the LCM equation.

GCF(82914,82932) = 6
LCM(82914,82932) = ( 82914 × 82932) / 6
LCM(82914,82932) = 6876223848 / 6
LCM(82914,82932) = 1146037308

Least Common Multiple (LCM) of 82914 and 82932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82914 and 82932. First we will calculate the prime factors of 82914 and 82932.

Prime Factorization of 82914

Prime Factorization of 82932

Now multiplying the highest exponent prime factors to calculate the LCM of 82914 and 82932.

LCM(82914,82932) = 2² × 3¹ × 13¹ × 1063¹ × 6911¹
LCM(82914,82932) = 1146037308