What is the Least Common Multiple of 46872 and 46881?

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 46872 and 46881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46872 and 46881, than apply into the LCM equation.

GCF(46872,46881) = 9
LCM(46872,46881) = ( 46872 × 46881) / 9
LCM(46872,46881) = 2197406232 / 9
LCM(46872,46881) = 244156248

Least Common Multiple (LCM) of 46872 and 46881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46872 and 46881. First we will calculate the prime factors of 46872 and 46881.

Prime Factorization of 46872

Prime Factorization of 46881

Now multiplying the highest exponent prime factors to calculate the LCM of 46872 and 46881.

LCM(46872,46881) = 2³ × 3³ × 7¹ × 31¹ × 5209¹
LCM(46872,46881) = 244156248