What is the Least Common Multiple of 46384 and 46401?

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 46384 and 46401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46384 and 46401, than apply into the LCM equation.

GCF(46384,46401) = 1
LCM(46384,46401) = ( 46384 × 46401) / 1
LCM(46384,46401) = 2152263984 / 1
LCM(46384,46401) = 2152263984

Least Common Multiple (LCM) of 46384 and 46401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46384 and 46401. First we will calculate the prime factors of 46384 and 46401.

Prime Factorization of 46384

Prime Factorization of 46401

Now multiplying the highest exponent prime factors to calculate the LCM of 46384 and 46401.

LCM(46384,46401) = 2⁴ × 13¹ × 223¹ × 3¹ × 15467¹
LCM(46384,46401) = 2152263984