What is the Least Common Multiple of 24154 and 24167?

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 24154 and 24167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24154 and 24167, than apply into the LCM equation.

GCF(24154,24167) = 13
LCM(24154,24167) = ( 24154 × 24167) / 13
LCM(24154,24167) = 583729718 / 13
LCM(24154,24167) = 44902286

Least Common Multiple (LCM) of 24154 and 24167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24154 and 24167. First we will calculate the prime factors of 24154 and 24167.

Prime Factorization of 24154

Prime Factorization of 24167

Now multiplying the highest exponent prime factors to calculate the LCM of 24154 and 24167.

LCM(24154,24167) = 2¹ × 13³ × 929¹ × 11¹
LCM(24154,24167) = 44902286