What is the Least Common Multiple of 24904 and 24921?

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 24921 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 24921, than apply into the LCM equation.

GCF(24904,24921) = 1
LCM(24904,24921) = ( 24904 × 24921) / 1
LCM(24904,24921) = 620632584 / 1
LCM(24904,24921) = 620632584

Least Common Multiple (LCM) of 24904 and 24921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24904 and 24921. First we will calculate the prime factors of 24904 and 24921.

Prime Factorization of 24904

Prime Factorization of 24921

Now multiplying the highest exponent prime factors to calculate the LCM of 24904 and 24921.

LCM(24904,24921) = 2³ × 11¹ × 283¹ × 3³ × 13¹ × 71¹
LCM(24904,24921) = 620632584