What is the Least Common Multiple of 74005 and 74024?

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 74005 and 74024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74005 and 74024, than apply into the LCM equation.

GCF(74005,74024) = 19
LCM(74005,74024) = ( 74005 × 74024) / 19
LCM(74005,74024) = 5478146120 / 19
LCM(74005,74024) = 288323480

Least Common Multiple (LCM) of 74005 and 74024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74005 and 74024. First we will calculate the prime factors of 74005 and 74024.

Prime Factorization of 74005

Prime Factorization of 74024

Now multiplying the highest exponent prime factors to calculate the LCM of 74005 and 74024.

LCM(74005,74024) = 5¹ × 19² × 41¹ × 2³ × 487¹
LCM(74005,74024) = 288323480