What is the Least Common Multiple of 46806 and 46824?

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 46806 and 46824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46806 and 46824, than apply into the LCM equation.

GCF(46806,46824) = 6
LCM(46806,46824) = ( 46806 × 46824) / 6
LCM(46806,46824) = 2191644144 / 6
LCM(46806,46824) = 365274024

Least Common Multiple (LCM) of 46806 and 46824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46806 and 46824. First we will calculate the prime factors of 46806 and 46824.

Prime Factorization of 46806

Prime Factorization of 46824

Now multiplying the highest exponent prime factors to calculate the LCM of 46806 and 46824.

LCM(46806,46824) = 2³ × 3¹ × 29¹ × 269¹ × 1951¹
LCM(46806,46824) = 365274024