What is the Least Common Multiple of 2413 and 2432?

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 2413 and 2432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2413 and 2432, than apply into the LCM equation.

GCF(2413,2432) = 19
LCM(2413,2432) = ( 2413 × 2432) / 19
LCM(2413,2432) = 5868416 / 19
LCM(2413,2432) = 308864

Least Common Multiple (LCM) of 2413 and 2432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2413 and 2432. First we will calculate the prime factors of 2413 and 2432.

Prime Factorization of 2413

Prime Factorization of 2432

Now multiplying the highest exponent prime factors to calculate the LCM of 2413 and 2432.

LCM(2413,2432) = 19¹ × 127¹ × 2⁷
LCM(2413,2432) = 308864