What is the Least Common Multiple of 46258 and 46268?

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 46258 and 46268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46258 and 46268, than apply into the LCM equation.

GCF(46258,46268) = 2
LCM(46258,46268) = ( 46258 × 46268) / 2
LCM(46258,46268) = 2140265144 / 2
LCM(46258,46268) = 1070132572

Least Common Multiple (LCM) of 46258 and 46268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46258 and 46268. First we will calculate the prime factors of 46258 and 46268.

Prime Factorization of 46258

Prime Factorization of 46268

Now multiplying the highest exponent prime factors to calculate the LCM of 46258 and 46268.

LCM(46258,46268) = 2² × 101¹ × 229¹ × 43¹ × 269¹
LCM(46258,46268) = 1070132572