What is the Least Common Multiple of 24814 and 24834?

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 24814 and 24834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24814 and 24834, than apply into the LCM equation.

GCF(24814,24834) = 2
LCM(24814,24834) = ( 24814 × 24834) / 2
LCM(24814,24834) = 616230876 / 2
LCM(24814,24834) = 308115438

Least Common Multiple (LCM) of 24814 and 24834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24814 and 24834. First we will calculate the prime factors of 24814 and 24834.

Prime Factorization of 24814

Prime Factorization of 24834

Now multiplying the highest exponent prime factors to calculate the LCM of 24814 and 24834.

LCM(24814,24834) = 2¹ × 19¹ × 653¹ × 3¹ × 4139¹
LCM(24814,24834) = 308115438