What is the Least Common Multiple of 24144 and 24161?

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 24144 and 24161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24144 and 24161, than apply into the LCM equation.

GCF(24144,24161) = 1
LCM(24144,24161) = ( 24144 × 24161) / 1
LCM(24144,24161) = 583343184 / 1
LCM(24144,24161) = 583343184

Least Common Multiple (LCM) of 24144 and 24161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24144 and 24161. First we will calculate the prime factors of 24144 and 24161.

Prime Factorization of 24144

Prime Factorization of 24161

Now multiplying the highest exponent prime factors to calculate the LCM of 24144 and 24161.

LCM(24144,24161) = 2⁴ × 3¹ × 503¹ × 37¹ × 653¹
LCM(24144,24161) = 583343184