What is the Least Common Multiple of 46248 and 46260?

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 46248 and 46260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46248 and 46260, than apply into the LCM equation.

GCF(46248,46260) = 12
LCM(46248,46260) = ( 46248 × 46260) / 12
LCM(46248,46260) = 2139432480 / 12
LCM(46248,46260) = 178286040

Least Common Multiple (LCM) of 46248 and 46260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46248 and 46260. First we will calculate the prime factors of 46248 and 46260.

Prime Factorization of 46248

Prime Factorization of 46260

Now multiplying the highest exponent prime factors to calculate the LCM of 46248 and 46260.

LCM(46248,46260) = 2³ × 3² × 41¹ × 47¹ × 5¹ × 257¹
LCM(46248,46260) = 178286040