What is the Least Common Multiple of 46889 and 46903?

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 46903 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 46903, than apply into the LCM equation.

GCF(46889,46903) = 1
LCM(46889,46903) = ( 46889 × 46903) / 1
LCM(46889,46903) = 2199234767 / 1
LCM(46889,46903) = 2199234767

Least Common Multiple (LCM) of 46889 and 46903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46889 and 46903. First we will calculate the prime factors of 46889 and 46903.

Prime Factorization of 46889

Prime Factorization of 46903

Now multiplying the highest exponent prime factors to calculate the LCM of 46889 and 46903.

LCM(46889,46903) = 46889¹ × 17¹ × 31¹ × 89¹
LCM(46889,46903) = 2199234767