What is the Least Common Multiple of 48009 and 48029?

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 48009 and 48029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48009 and 48029, than apply into the LCM equation.

GCF(48009,48029) = 1
LCM(48009,48029) = ( 48009 × 48029) / 1
LCM(48009,48029) = 2305824261 / 1
LCM(48009,48029) = 2305824261

Least Common Multiple (LCM) of 48009 and 48029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48009 and 48029. First we will calculate the prime factors of 48009 and 48029.

Prime Factorization of 48009

Prime Factorization of 48029

Now multiplying the highest exponent prime factors to calculate the LCM of 48009 and 48029.

LCM(48009,48029) = 3¹ × 13¹ × 1231¹ × 48029¹
LCM(48009,48029) = 2305824261