What is the Least Common Multiple of 46353 and 46369?

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 46353 and 46369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46353 and 46369, than apply into the LCM equation.

GCF(46353,46369) = 1
LCM(46353,46369) = ( 46353 × 46369) / 1
LCM(46353,46369) = 2149342257 / 1
LCM(46353,46369) = 2149342257

Least Common Multiple (LCM) of 46353 and 46369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46353 and 46369. First we will calculate the prime factors of 46353 and 46369.

Prime Factorization of 46353

Prime Factorization of 46369

Now multiplying the highest exponent prime factors to calculate the LCM of 46353 and 46369.

LCM(46353,46369) = 3¹ × 15451¹ × 89¹ × 521¹
LCM(46353,46369) = 2149342257