What is the Least Common Multiple of 24904 and 24913?

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 24904 and 24913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24904 and 24913, than apply into the LCM equation.

GCF(24904,24913) = 1
LCM(24904,24913) = ( 24904 × 24913) / 1
LCM(24904,24913) = 620433352 / 1
LCM(24904,24913) = 620433352

Least Common Multiple (LCM) of 24904 and 24913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24904 and 24913. First we will calculate the prime factors of 24904 and 24913.

Prime Factorization of 24904

Prime Factorization of 24913

Now multiplying the highest exponent prime factors to calculate the LCM of 24904 and 24913.

LCM(24904,24913) = 2³ × 11¹ × 283¹ × 7¹ × 3559¹
LCM(24904,24913) = 620433352