GCF and LCM Calculator Logo

What is the Least Common Multiple of 46843 and 46848?

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 46843 and 46848 is 2194500864.

LCM(46843,46848) = 2194500864

LCM Calculator and
and

Least Common Multiple of 46843 and 46848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46843 and 46848, than apply into the LCM equation.

GCF(46843,46848) = 1
LCM(46843,46848) = ( 46843 × 46848) / 1
LCM(46843,46848) = 2194500864 / 1
LCM(46843,46848) = 2194500864

Least Common Multiple (LCM) of 46843 and 46848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46843 and 46848. First we will calculate the prime factors of 46843 and 46848.

Prime Factorization of 46843

Prime factors of 46843 are 139, 337. Prime factorization of 46843 in exponential form is:

46843 = 1391 × 3371

Prime Factorization of 46848

Prime factors of 46848 are 2, 3, 61. Prime factorization of 46848 in exponential form is:

46848 = 28 × 31 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 46843 and 46848.

LCM(46843,46848) = 1391 × 3371 × 28 × 31 × 611
LCM(46843,46848) = 2194500864