What is the Least Common Multiple of 24074 and 24089?

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 24074 and 24089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24074 and 24089, than apply into the LCM equation.

GCF(24074,24089) = 1
LCM(24074,24089) = ( 24074 × 24089) / 1
LCM(24074,24089) = 579918586 / 1
LCM(24074,24089) = 579918586

Least Common Multiple (LCM) of 24074 and 24089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24074 and 24089. First we will calculate the prime factors of 24074 and 24089.

Prime Factorization of 24074

Prime Factorization of 24089

Now multiplying the highest exponent prime factors to calculate the LCM of 24074 and 24089.

LCM(24074,24089) = 2¹ × 12037¹ × 13¹ × 17¹ × 109¹
LCM(24074,24089) = 579918586