What is the Least Common Multiple of 46889 and 46899?

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 46889 and 46899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46889 and 46899, than apply into the LCM equation.

GCF(46889,46899) = 1
LCM(46889,46899) = ( 46889 × 46899) / 1
LCM(46889,46899) = 2199047211 / 1
LCM(46889,46899) = 2199047211

Least Common Multiple (LCM) of 46889 and 46899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46889 and 46899. First we will calculate the prime factors of 46889 and 46899.

Prime Factorization of 46889

Prime Factorization of 46899

Now multiplying the highest exponent prime factors to calculate the LCM of 46889 and 46899.

LCM(46889,46899) = 46889¹ × 3⁵ × 193¹
LCM(46889,46899) = 2199047211