What is the Least Common Multiple of 6432 and 6442?

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 6432 and 6442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6432 and 6442, than apply into the LCM equation.

GCF(6432,6442) = 2
LCM(6432,6442) = ( 6432 × 6442) / 2
LCM(6432,6442) = 41434944 / 2
LCM(6432,6442) = 20717472

Least Common Multiple (LCM) of 6432 and 6442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6432 and 6442. First we will calculate the prime factors of 6432 and 6442.

Prime Factorization of 6432

Prime Factorization of 6442

Now multiplying the highest exponent prime factors to calculate the LCM of 6432 and 6442.

LCM(6432,6442) = 2⁵ × 3¹ × 67¹ × 3221¹
LCM(6432,6442) = 20717472