What is the Least Common Multiple of 24863 and 24871?

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 24863 and 24871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24863 and 24871, than apply into the LCM equation.

GCF(24863,24871) = 1
LCM(24863,24871) = ( 24863 × 24871) / 1
LCM(24863,24871) = 618367673 / 1
LCM(24863,24871) = 618367673

Least Common Multiple (LCM) of 24863 and 24871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24863 and 24871. First we will calculate the prime factors of 24863 and 24871.

Prime Factorization of 24863

Prime Factorization of 24871

Now multiplying the highest exponent prime factors to calculate the LCM of 24863 and 24871.

LCM(24863,24871) = 23² × 47¹ × 7¹ × 11¹ × 17¹ × 19¹
LCM(24863,24871) = 618367673