What is the Least Common Multiple of 46404 and 46409?

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 46404 and 46409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46404 and 46409, than apply into the LCM equation.

GCF(46404,46409) = 1
LCM(46404,46409) = ( 46404 × 46409) / 1
LCM(46404,46409) = 2153563236 / 1
LCM(46404,46409) = 2153563236

Least Common Multiple (LCM) of 46404 and 46409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46404 and 46409. First we will calculate the prime factors of 46404 and 46409.

Prime Factorization of 46404

Prime Factorization of 46409

Now multiplying the highest exponent prime factors to calculate the LCM of 46404 and 46409.

LCM(46404,46409) = 2² × 3² × 1289¹ × 11¹ × 4219¹
LCM(46404,46409) = 2153563236