What is the Least Common Multiple of 46705 and 46717?

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 46705 and 46717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46705 and 46717, than apply into the LCM equation.

GCF(46705,46717) = 1
LCM(46705,46717) = ( 46705 × 46717) / 1
LCM(46705,46717) = 2181917485 / 1
LCM(46705,46717) = 2181917485

Least Common Multiple (LCM) of 46705 and 46717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46705 and 46717. First we will calculate the prime factors of 46705 and 46717.

Prime Factorization of 46705

Prime Factorization of 46717

Now multiplying the highest exponent prime factors to calculate the LCM of 46705 and 46717.

LCM(46705,46717) = 5¹ × 9341¹ × 11¹ × 31¹ × 137¹
LCM(46705,46717) = 2181917485