What is the Least Common Multiple of 81700 and 81717?

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 81700 and 81717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81700 and 81717, than apply into the LCM equation.

GCF(81700,81717) = 1
LCM(81700,81717) = ( 81700 × 81717) / 1
LCM(81700,81717) = 6676278900 / 1
LCM(81700,81717) = 6676278900

Least Common Multiple (LCM) of 81700 and 81717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81700 and 81717. First we will calculate the prime factors of 81700 and 81717.

Prime Factorization of 81700

Prime Factorization of 81717

Now multiplying the highest exponent prime factors to calculate the LCM of 81700 and 81717.

LCM(81700,81717) = 2² × 5² × 19¹ × 43¹ × 3¹ × 27239¹
LCM(81700,81717) = 6676278900