What is the Least Common Multiple of 47996 and 48009?

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 47996 and 48009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47996 and 48009, than apply into the LCM equation.

GCF(47996,48009) = 13
LCM(47996,48009) = ( 47996 × 48009) / 13
LCM(47996,48009) = 2304239964 / 13
LCM(47996,48009) = 177249228

Least Common Multiple (LCM) of 47996 and 48009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47996 and 48009. First we will calculate the prime factors of 47996 and 48009.

Prime Factorization of 47996

Prime Factorization of 48009

Now multiplying the highest exponent prime factors to calculate the LCM of 47996 and 48009.

LCM(47996,48009) = 2² × 13² × 71¹ × 3¹ × 1231¹
LCM(47996,48009) = 177249228