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What is the Least Common Multiple of 2432 and 2446?

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 (LCM) of 2432 and 2446 is 2974336.

LCM(2432,2446) = 2974336

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Least Common Multiple of 2432 and 2446 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 2446, than apply into the LCM equation.

GCF(2432,2446) = 2
LCM(2432,2446) = ( 2432 × 2446) / 2
LCM(2432,2446) = 5948672 / 2
LCM(2432,2446) = 2974336

Least Common Multiple (LCM) of 2432 and 2446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2446. First we will calculate the prime factors of 2432 and 2446.

Prime Factorization of 2432

Prime factors of 2432 are 2, 19. Prime factorization of 2432 in exponential form is:

2432 = 27 × 191

Prime Factorization of 2446

Prime factors of 2446 are 2, 1223. Prime factorization of 2446 in exponential form is:

2446 = 21 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2446.

LCM(2432,2446) = 27 × 191 × 12231
LCM(2432,2446) = 2974336