What is the Least Common Multiple of 24174 and 24181?

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 24174 and 24181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24174 and 24181, than apply into the LCM equation.

GCF(24174,24181) = 1
LCM(24174,24181) = ( 24174 × 24181) / 1
LCM(24174,24181) = 584551494 / 1
LCM(24174,24181) = 584551494

Least Common Multiple (LCM) of 24174 and 24181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24174 and 24181. First we will calculate the prime factors of 24174 and 24181.

Prime Factorization of 24174

Prime Factorization of 24181

Now multiplying the highest exponent prime factors to calculate the LCM of 24174 and 24181.

LCM(24174,24181) = 2¹ × 3² × 17¹ × 79¹ × 24181¹
LCM(24174,24181) = 584551494