What is the Least Common Multiple of 46869 and 46875?

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 46869 and 46875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46869 and 46875, than apply into the LCM equation.

GCF(46869,46875) = 3
LCM(46869,46875) = ( 46869 × 46875) / 3
LCM(46869,46875) = 2196984375 / 3
LCM(46869,46875) = 732328125

Least Common Multiple (LCM) of 46869 and 46875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46869 and 46875. First we will calculate the prime factors of 46869 and 46875.

Prime Factorization of 46869

Prime Factorization of 46875

Now multiplying the highest exponent prime factors to calculate the LCM of 46869 and 46875.

LCM(46869,46875) = 3¹ × 17¹ × 919¹ × 5⁶
LCM(46869,46875) = 732328125