What is the Least Common Multiple of 24141 and 24147?

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 24141 and 24147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24141 and 24147, than apply into the LCM equation.

GCF(24141,24147) = 3
LCM(24141,24147) = ( 24141 × 24147) / 3
LCM(24141,24147) = 582932727 / 3
LCM(24141,24147) = 194310909

Least Common Multiple (LCM) of 24141 and 24147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24141 and 24147. First we will calculate the prime factors of 24141 and 24147.

Prime Factorization of 24141

Prime Factorization of 24147

Now multiplying the highest exponent prime factors to calculate the LCM of 24141 and 24147.

LCM(24141,24147) = 3² × 13¹ × 619¹ × 2683¹
LCM(24141,24147) = 194310909