What is the Least Common Multiple of 46268 and 46283?

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 46268 and 46283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46268 and 46283, than apply into the LCM equation.

GCF(46268,46283) = 1
LCM(46268,46283) = ( 46268 × 46283) / 1
LCM(46268,46283) = 2141421844 / 1
LCM(46268,46283) = 2141421844

Least Common Multiple (LCM) of 46268 and 46283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46268 and 46283. First we will calculate the prime factors of 46268 and 46283.

Prime Factorization of 46268

Prime Factorization of 46283

Now multiplying the highest exponent prime factors to calculate the LCM of 46268 and 46283.

LCM(46268,46283) = 2² × 43¹ × 269¹ × 31¹ × 1493¹
LCM(46268,46283) = 2141421844