What is the Least Common Multiple of 46238 and 46256?

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 46238 and 46256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46238 and 46256, than apply into the LCM equation.

GCF(46238,46256) = 2
LCM(46238,46256) = ( 46238 × 46256) / 2
LCM(46238,46256) = 2138784928 / 2
LCM(46238,46256) = 1069392464

Least Common Multiple (LCM) of 46238 and 46256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46238 and 46256. First we will calculate the prime factors of 46238 and 46256.

Prime Factorization of 46238

Prime Factorization of 46256

Now multiplying the highest exponent prime factors to calculate the LCM of 46238 and 46256.

LCM(46238,46256) = 2⁴ × 61¹ × 379¹ × 7² × 59¹
LCM(46238,46256) = 1069392464