What is the Least Common Multiple of 46717 and 46734?

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 46717 and 46734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46717 and 46734, than apply into the LCM equation.

GCF(46717,46734) = 1
LCM(46717,46734) = ( 46717 × 46734) / 1
LCM(46717,46734) = 2183272278 / 1
LCM(46717,46734) = 2183272278

Least Common Multiple (LCM) of 46717 and 46734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46717 and 46734. First we will calculate the prime factors of 46717 and 46734.

Prime Factorization of 46717

Prime Factorization of 46734

Now multiplying the highest exponent prime factors to calculate the LCM of 46717 and 46734.

LCM(46717,46734) = 11¹ × 31¹ × 137¹ × 2¹ × 3¹ × 7789¹
LCM(46717,46734) = 2183272278