What is the Least Common Multiple of 72916 and 72929?

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 72916 and 72929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72916 and 72929, than apply into the LCM equation.

GCF(72916,72929) = 1
LCM(72916,72929) = ( 72916 × 72929) / 1
LCM(72916,72929) = 5317690964 / 1
LCM(72916,72929) = 5317690964

Least Common Multiple (LCM) of 72916 and 72929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72916 and 72929. First we will calculate the prime factors of 72916 and 72929.

Prime Factorization of 72916

Prime Factorization of 72929

Now multiplying the highest exponent prime factors to calculate the LCM of 72916 and 72929.

LCM(72916,72929) = 2² × 18229¹ × 233¹ × 313¹
LCM(72916,72929) = 5317690964