What is the Least Common Multiple of 2432 and 2442?

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 2432 and 2442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2432 and 2442, than apply into the LCM equation.

GCF(2432,2442) = 2
LCM(2432,2442) = ( 2432 × 2442) / 2
LCM(2432,2442) = 5938944 / 2
LCM(2432,2442) = 2969472

Least Common Multiple (LCM) of 2432 and 2442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2442. First we will calculate the prime factors of 2432 and 2442.

Prime Factorization of 2432

Prime Factorization of 2442

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2442.

LCM(2432,2442) = 2⁷ × 19¹ × 3¹ × 11¹ × 37¹
LCM(2432,2442) = 2969472