What is the Least Common Multiple of 46683 and 46696?

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 46683 and 46696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46683 and 46696, than apply into the LCM equation.

GCF(46683,46696) = 13
LCM(46683,46696) = ( 46683 × 46696) / 13
LCM(46683,46696) = 2179909368 / 13
LCM(46683,46696) = 167685336

Least Common Multiple (LCM) of 46683 and 46696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46683 and 46696. First we will calculate the prime factors of 46683 and 46696.

Prime Factorization of 46683

Prime Factorization of 46696

Now multiplying the highest exponent prime factors to calculate the LCM of 46683 and 46696.

LCM(46683,46696) = 3³ × 7¹ × 13¹ × 19¹ × 2³ × 449¹
LCM(46683,46696) = 167685336