What is the Least Common Multiple of 46413 and 46429?

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 46413 and 46429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46413 and 46429, than apply into the LCM equation.

GCF(46413,46429) = 1
LCM(46413,46429) = ( 46413 × 46429) / 1
LCM(46413,46429) = 2154909177 / 1
LCM(46413,46429) = 2154909177

Least Common Multiple (LCM) of 46413 and 46429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46413 and 46429. First we will calculate the prime factors of 46413 and 46429.

Prime Factorization of 46413

Prime Factorization of 46429

Now multiplying the highest exponent prime factors to calculate the LCM of 46413 and 46429.

LCM(46413,46429) = 3⁵ × 191¹ × 29¹ × 1601¹
LCM(46413,46429) = 2154909177