What is the Least Common Multiple of 72099 and 72117?

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 72099 and 72117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72099 and 72117, than apply into the LCM equation.

GCF(72099,72117) = 9
LCM(72099,72117) = ( 72099 × 72117) / 9
LCM(72099,72117) = 5199563583 / 9
LCM(72099,72117) = 577729287

Least Common Multiple (LCM) of 72099 and 72117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72099 and 72117. First we will calculate the prime factors of 72099 and 72117.

Prime Factorization of 72099

Prime Factorization of 72117

Now multiplying the highest exponent prime factors to calculate the LCM of 72099 and 72117.

LCM(72099,72117) = 3³ × 8011¹ × 2671¹
LCM(72099,72117) = 577729287