What is the Least Common Multiple of 24069 and 24073?

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 24069 and 24073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24069 and 24073, than apply into the LCM equation.

GCF(24069,24073) = 1
LCM(24069,24073) = ( 24069 × 24073) / 1
LCM(24069,24073) = 579413037 / 1
LCM(24069,24073) = 579413037

Least Common Multiple (LCM) of 24069 and 24073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24069 and 24073. First we will calculate the prime factors of 24069 and 24073.

Prime Factorization of 24069

Prime Factorization of 24073

Now multiplying the highest exponent prime factors to calculate the LCM of 24069 and 24073.

LCM(24069,24073) = 3¹ × 71¹ × 113¹ × 7¹ × 19¹ × 181¹
LCM(24069,24073) = 579413037