What is the Least Common Multiple of 46989 and 47009?

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 46989 and 47009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46989 and 47009, than apply into the LCM equation.

GCF(46989,47009) = 1
LCM(46989,47009) = ( 46989 × 47009) / 1
LCM(46989,47009) = 2208905901 / 1
LCM(46989,47009) = 2208905901

Least Common Multiple (LCM) of 46989 and 47009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46989 and 47009. First we will calculate the prime factors of 46989 and 47009.

Prime Factorization of 46989

Prime Factorization of 47009

Now multiplying the highest exponent prime factors to calculate the LCM of 46989 and 47009.

LCM(46989,47009) = 3² × 23¹ × 227¹ × 29¹ × 1621¹
LCM(46989,47009) = 2208905901