What is the Least Common Multiple of 72700 and 72717?

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 72700 and 72717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72700 and 72717, than apply into the LCM equation.

GCF(72700,72717) = 1
LCM(72700,72717) = ( 72700 × 72717) / 1
LCM(72700,72717) = 5286525900 / 1
LCM(72700,72717) = 5286525900

Least Common Multiple (LCM) of 72700 and 72717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72700 and 72717. First we will calculate the prime factors of 72700 and 72717.

Prime Factorization of 72700

Prime Factorization of 72717

Now multiplying the highest exponent prime factors to calculate the LCM of 72700 and 72717.

LCM(72700,72717) = 2² × 5² × 727¹ × 3¹ × 24239¹
LCM(72700,72717) = 5286525900