What is the Least Common Multiple of 74089 and 74105?

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 74089 and 74105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74089 and 74105, than apply into the LCM equation.

GCF(74089,74105) = 1
LCM(74089,74105) = ( 74089 × 74105) / 1
LCM(74089,74105) = 5490365345 / 1
LCM(74089,74105) = 5490365345

Least Common Multiple (LCM) of 74089 and 74105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74089 and 74105. First we will calculate the prime factors of 74089 and 74105.

Prime Factorization of 74089

Prime Factorization of 74105

Now multiplying the highest exponent prime factors to calculate the LCM of 74089 and 74105.

LCM(74089,74105) = 43¹ × 1723¹ × 5¹ × 14821¹
LCM(74089,74105) = 5490365345