What is the Least Common Multiple of 23834 and 23854?

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 23834 and 23854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23834 and 23854, than apply into the LCM equation.

GCF(23834,23854) = 2
LCM(23834,23854) = ( 23834 × 23854) / 2
LCM(23834,23854) = 568536236 / 2
LCM(23834,23854) = 284268118

Least Common Multiple (LCM) of 23834 and 23854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23834 and 23854. First we will calculate the prime factors of 23834 and 23854.

Prime Factorization of 23834

Prime Factorization of 23854

Now multiplying the highest exponent prime factors to calculate the LCM of 23834 and 23854.

LCM(23834,23854) = 2¹ × 17¹ × 701¹ × 11927¹
LCM(23834,23854) = 284268118