What is the Least Common Multiple of 46547 and 46561?

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 46547 and 46561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46547 and 46561, than apply into the LCM equation.

GCF(46547,46561) = 1
LCM(46547,46561) = ( 46547 × 46561) / 1
LCM(46547,46561) = 2167274867 / 1
LCM(46547,46561) = 2167274867

Least Common Multiple (LCM) of 46547 and 46561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46547 and 46561. First we will calculate the prime factors of 46547 and 46561.

Prime Factorization of 46547

Prime Factorization of 46561

Now multiplying the highest exponent prime factors to calculate the LCM of 46547 and 46561.

LCM(46547,46561) = 89¹ × 523¹ × 101¹ × 461¹
LCM(46547,46561) = 2167274867