What is the Least Common Multiple of 24846 and 24853?

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 24846 and 24853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24846 and 24853, than apply into the LCM equation.

GCF(24846,24853) = 1
LCM(24846,24853) = ( 24846 × 24853) / 1
LCM(24846,24853) = 617497638 / 1
LCM(24846,24853) = 617497638

Least Common Multiple (LCM) of 24846 and 24853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24846 and 24853. First we will calculate the prime factors of 24846 and 24853.

Prime Factorization of 24846

Prime Factorization of 24853

Now multiplying the highest exponent prime factors to calculate the LCM of 24846 and 24853.

LCM(24846,24853) = 2¹ × 3¹ × 41¹ × 101¹ × 29¹ × 857¹
LCM(24846,24853) = 617497638