What is the Least Common Multiple of 73009 and 73014?

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 73009 and 73014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73009 and 73014, than apply into the LCM equation.

GCF(73009,73014) = 1
LCM(73009,73014) = ( 73009 × 73014) / 1
LCM(73009,73014) = 5330679126 / 1
LCM(73009,73014) = 5330679126

Least Common Multiple (LCM) of 73009 and 73014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73009 and 73014. First we will calculate the prime factors of 73009 and 73014.

Prime Factorization of 73009

Prime Factorization of 73014

Now multiplying the highest exponent prime factors to calculate the LCM of 73009 and 73014.

LCM(73009,73014) = 73009¹ × 2¹ × 3¹ × 43¹ × 283¹
LCM(73009,73014) = 5330679126