What is the Least Common Multiple of 46880 and 46889?

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 46880 and 46889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46880 and 46889, than apply into the LCM equation.

GCF(46880,46889) = 1
LCM(46880,46889) = ( 46880 × 46889) / 1
LCM(46880,46889) = 2198156320 / 1
LCM(46880,46889) = 2198156320

Least Common Multiple (LCM) of 46880 and 46889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46880 and 46889. First we will calculate the prime factors of 46880 and 46889.

Prime Factorization of 46880

Prime Factorization of 46889

Now multiplying the highest exponent prime factors to calculate the LCM of 46880 and 46889.

LCM(46880,46889) = 2⁵ × 5¹ × 293¹ × 46889¹
LCM(46880,46889) = 2198156320