What is the Least Common Multiple of 46529 and 46541?

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 46529 and 46541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46529 and 46541, than apply into the LCM equation.

GCF(46529,46541) = 1
LCM(46529,46541) = ( 46529 × 46541) / 1
LCM(46529,46541) = 2165506189 / 1
LCM(46529,46541) = 2165506189

Least Common Multiple (LCM) of 46529 and 46541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46529 and 46541. First we will calculate the prime factors of 46529 and 46541.

Prime Factorization of 46529

Prime Factorization of 46541

Now multiplying the highest exponent prime factors to calculate the LCM of 46529 and 46541.

LCM(46529,46541) = 7¹ × 17² × 23¹ × 11¹ × 4231¹
LCM(46529,46541) = 2165506189