What is the Least Common Multiple of 46809 and 46814?

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 46809 and 46814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46809 and 46814, than apply into the LCM equation.

GCF(46809,46814) = 1
LCM(46809,46814) = ( 46809 × 46814) / 1
LCM(46809,46814) = 2191316526 / 1
LCM(46809,46814) = 2191316526

Least Common Multiple (LCM) of 46809 and 46814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46809 and 46814. First we will calculate the prime factors of 46809 and 46814.

Prime Factorization of 46809

Prime Factorization of 46814

Now multiplying the highest exponent prime factors to calculate the LCM of 46809 and 46814.

LCM(46809,46814) = 3² × 7¹ × 743¹ × 2¹ × 89¹ × 263¹
LCM(46809,46814) = 2191316526