What is the Least Common Multiple of 27705 and 27717?

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 27705 and 27717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27705 and 27717, than apply into the LCM equation.

GCF(27705,27717) = 3
LCM(27705,27717) = ( 27705 × 27717) / 3
LCM(27705,27717) = 767899485 / 3
LCM(27705,27717) = 255966495

Least Common Multiple (LCM) of 27705 and 27717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27705 and 27717. First we will calculate the prime factors of 27705 and 27717.

Prime Factorization of 27705

Prime Factorization of 27717

Now multiplying the highest exponent prime factors to calculate the LCM of 27705 and 27717.

LCM(27705,27717) = 3¹ × 5¹ × 1847¹ × 9239¹
LCM(27705,27717) = 255966495