What is the Least Common Multiple of 24823 and 24842?

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 24823 and 24842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24823 and 24842, than apply into the LCM equation.

GCF(24823,24842) = 1
LCM(24823,24842) = ( 24823 × 24842) / 1
LCM(24823,24842) = 616652966 / 1
LCM(24823,24842) = 616652966

Least Common Multiple (LCM) of 24823 and 24842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24823 and 24842. First we will calculate the prime factors of 24823 and 24842.

Prime Factorization of 24823

Prime Factorization of 24842

Now multiplying the highest exponent prime factors to calculate the LCM of 24823 and 24842.

LCM(24823,24842) = 103¹ × 241¹ × 2¹ × 12421¹
LCM(24823,24842) = 616652966