GCF and LCM Calculator Logo

What is the Least Common Multiple of 46451 and 46466?

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 (LCM) of 46451 and 46466 is 2158392166.

LCM(46451,46466) = 2158392166

LCM Calculator and
and

Least Common Multiple of 46451 and 46466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46451 and 46466, than apply into the LCM equation.

GCF(46451,46466) = 1
LCM(46451,46466) = ( 46451 × 46466) / 1
LCM(46451,46466) = 2158392166 / 1
LCM(46451,46466) = 2158392166

Least Common Multiple (LCM) of 46451 and 46466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46451 and 46466. First we will calculate the prime factors of 46451 and 46466.

Prime Factorization of 46451

Prime factors of 46451 are 46451. Prime factorization of 46451 in exponential form is:

46451 = 464511

Prime Factorization of 46466

Prime factors of 46466 are 2, 7, 3319. Prime factorization of 46466 in exponential form is:

46466 = 21 × 71 × 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 46451 and 46466.

LCM(46451,46466) = 464511 × 21 × 71 × 33191
LCM(46451,46466) = 2158392166