What is the Least Common Multiple of 74145 and 74165?

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 74145 and 74165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74145 and 74165, than apply into the LCM equation.

GCF(74145,74165) = 5
LCM(74145,74165) = ( 74145 × 74165) / 5
LCM(74145,74165) = 5498963925 / 5
LCM(74145,74165) = 1099792785

Least Common Multiple (LCM) of 74145 and 74165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74145 and 74165. First we will calculate the prime factors of 74145 and 74165.

Prime Factorization of 74145

Prime Factorization of 74165

Now multiplying the highest exponent prime factors to calculate the LCM of 74145 and 74165.

LCM(74145,74165) = 3¹ × 5¹ × 4943¹ × 7¹ × 13¹ × 163¹
LCM(74145,74165) = 1099792785