What is the Least Common Multiple of 48009 and 48015?

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 48015 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 48015, than apply into the LCM equation.

GCF(48009,48015) = 3
LCM(48009,48015) = ( 48009 × 48015) / 3
LCM(48009,48015) = 2305152135 / 3
LCM(48009,48015) = 768384045

Least Common Multiple (LCM) of 48009 and 48015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48009 and 48015. First we will calculate the prime factors of 48009 and 48015.

Prime Factorization of 48009

Prime Factorization of 48015

Now multiplying the highest exponent prime factors to calculate the LCM of 48009 and 48015.

LCM(48009,48015) = 3² × 13¹ × 1231¹ × 5¹ × 11¹ × 97¹
LCM(48009,48015) = 768384045