What is the Least Common Multiple of 46875 and 46880?

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 46875 and 46880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46875 and 46880, than apply into the LCM equation.

GCF(46875,46880) = 5
LCM(46875,46880) = ( 46875 × 46880) / 5
LCM(46875,46880) = 2197500000 / 5
LCM(46875,46880) = 439500000

Least Common Multiple (LCM) of 46875 and 46880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46875 and 46880. First we will calculate the prime factors of 46875 and 46880.

Prime Factorization of 46875

Prime Factorization of 46880

Now multiplying the highest exponent prime factors to calculate the LCM of 46875 and 46880.

LCM(46875,46880) = 3¹ × 5⁶ × 2⁵ × 293¹
LCM(46875,46880) = 439500000