What is the Least Common Multiple of 74005 and 74010?

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 74010 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 74010, than apply into the LCM equation.

GCF(74005,74010) = 5
LCM(74005,74010) = ( 74005 × 74010) / 5
LCM(74005,74010) = 5477110050 / 5
LCM(74005,74010) = 1095422010

Least Common Multiple (LCM) of 74005 and 74010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74005 and 74010. First we will calculate the prime factors of 74005 and 74010.

Prime Factorization of 74005

Prime Factorization of 74010

Now multiplying the highest exponent prime factors to calculate the LCM of 74005 and 74010.

LCM(74005,74010) = 5¹ × 19² × 41¹ × 2¹ × 3¹ × 2467¹
LCM(74005,74010) = 1095422010