What is the Least Common Multiple of 46251 and 46257?

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 46251 and 46257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46251 and 46257, than apply into the LCM equation.

GCF(46251,46257) = 3
LCM(46251,46257) = ( 46251 × 46257) / 3
LCM(46251,46257) = 2139432507 / 3
LCM(46251,46257) = 713144169

Least Common Multiple (LCM) of 46251 and 46257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46251 and 46257. First we will calculate the prime factors of 46251 and 46257.

Prime Factorization of 46251

Prime Factorization of 46257

Now multiplying the highest exponent prime factors to calculate the LCM of 46251 and 46257.

LCM(46251,46257) = 3⁴ × 571¹ × 17¹ × 907¹
LCM(46251,46257) = 713144169