What is the Least Common Multiple of 46829 and 46845?

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 46829 and 46845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46829 and 46845, than apply into the LCM equation.

GCF(46829,46845) = 1
LCM(46829,46845) = ( 46829 × 46845) / 1
LCM(46829,46845) = 2193704505 / 1
LCM(46829,46845) = 2193704505

Least Common Multiple (LCM) of 46829 and 46845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46829 and 46845. First we will calculate the prime factors of 46829 and 46845.

Prime Factorization of 46829

Prime Factorization of 46845

Now multiplying the highest exponent prime factors to calculate the LCM of 46829 and 46845.

LCM(46829,46845) = 46829¹ × 3³ × 5¹ × 347¹
LCM(46829,46845) = 2193704505