What is the Least Common Multiple of 46545 and 46565?

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 46545 and 46565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46545 and 46565, than apply into the LCM equation.

GCF(46545,46565) = 5
LCM(46545,46565) = ( 46545 × 46565) / 5
LCM(46545,46565) = 2167367925 / 5
LCM(46545,46565) = 433473585

Least Common Multiple (LCM) of 46545 and 46565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46545 and 46565. First we will calculate the prime factors of 46545 and 46565.

Prime Factorization of 46545

Prime Factorization of 46565

Now multiplying the highest exponent prime factors to calculate the LCM of 46545 and 46565.

LCM(46545,46565) = 3¹ × 5¹ × 29¹ × 107¹ × 67¹ × 139¹
LCM(46545,46565) = 433473585