What is the Least Common Multiple of 46239 and 46243?

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 46239 and 46243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46239 and 46243, than apply into the LCM equation.

GCF(46239,46243) = 1
LCM(46239,46243) = ( 46239 × 46243) / 1
LCM(46239,46243) = 2138230077 / 1
LCM(46239,46243) = 2138230077

Least Common Multiple (LCM) of 46239 and 46243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46239 and 46243. First we will calculate the prime factors of 46239 and 46243.

Prime Factorization of 46239

Prime Factorization of 46243

Now multiplying the highest exponent prime factors to calculate the LCM of 46239 and 46243.

LCM(46239,46243) = 3¹ × 15413¹ × 131¹ × 353¹
LCM(46239,46243) = 2138230077