What is the Least Common Multiple of 46505 and 46525?

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 46505 and 46525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46505 and 46525, than apply into the LCM equation.

GCF(46505,46525) = 5
LCM(46505,46525) = ( 46505 × 46525) / 5
LCM(46505,46525) = 2163645125 / 5
LCM(46505,46525) = 432729025

Least Common Multiple (LCM) of 46505 and 46525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46505 and 46525. First we will calculate the prime factors of 46505 and 46525.

Prime Factorization of 46505

Prime Factorization of 46525

Now multiplying the highest exponent prime factors to calculate the LCM of 46505 and 46525.

LCM(46505,46525) = 5² × 71¹ × 131¹ × 1861¹
LCM(46505,46525) = 432729025