What is the Least Common Multiple of 46269 and 46275?

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 46269 and 46275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46269 and 46275, than apply into the LCM equation.

GCF(46269,46275) = 3
LCM(46269,46275) = ( 46269 × 46275) / 3
LCM(46269,46275) = 2141097975 / 3
LCM(46269,46275) = 713699325

Least Common Multiple (LCM) of 46269 and 46275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46269 and 46275. First we will calculate the prime factors of 46269 and 46275.

Prime Factorization of 46269

Prime Factorization of 46275

Now multiplying the highest exponent prime factors to calculate the LCM of 46269 and 46275.

LCM(46269,46275) = 3² × 53¹ × 97¹ × 5² × 617¹
LCM(46269,46275) = 713699325