What is the Least Common Multiple of 73014 and 73030?

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 73030 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 73030, than apply into the LCM equation.

GCF(73014,73030) = 2
LCM(73014,73030) = ( 73014 × 73030) / 2
LCM(73014,73030) = 5332212420 / 2
LCM(73014,73030) = 2666106210

Least Common Multiple (LCM) of 73014 and 73030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73014 and 73030. First we will calculate the prime factors of 73014 and 73030.

Prime Factorization of 73014

Prime Factorization of 73030

Now multiplying the highest exponent prime factors to calculate the LCM of 73014 and 73030.

LCM(73014,73030) = 2¹ × 3¹ × 43¹ × 283¹ × 5¹ × 67¹ × 109¹
LCM(73014,73030) = 2666106210