What is the Least Common Multiple of 73014 and 73029?

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 73014 and 73029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73014 and 73029, than apply into the LCM equation.

GCF(73014,73029) = 3
LCM(73014,73029) = ( 73014 × 73029) / 3
LCM(73014,73029) = 5332139406 / 3
LCM(73014,73029) = 1777379802

Least Common Multiple (LCM) of 73014 and 73029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73014 and 73029. First we will calculate the prime factors of 73014 and 73029.

Prime Factorization of 73014

Prime Factorization of 73029

Now multiplying the highest exponent prime factors to calculate the LCM of 73014 and 73029.

LCM(73014,73029) = 2¹ × 3¹ × 43¹ × 283¹ × 11¹ × 2213¹
LCM(73014,73029) = 1777379802