What is the Least Common Multiple of 46256 and 46274?

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 46256 and 46274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46256 and 46274, than apply into the LCM equation.

GCF(46256,46274) = 2
LCM(46256,46274) = ( 46256 × 46274) / 2
LCM(46256,46274) = 2140450144 / 2
LCM(46256,46274) = 1070225072

Least Common Multiple (LCM) of 46256 and 46274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46256 and 46274. First we will calculate the prime factors of 46256 and 46274.

Prime Factorization of 46256

Prime Factorization of 46274

Now multiplying the highest exponent prime factors to calculate the LCM of 46256 and 46274.

LCM(46256,46274) = 2⁴ × 7² × 59¹ × 17¹ × 1361¹
LCM(46256,46274) = 1070225072