What is the Least Common Multiple of 48165 and 48184?

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 48165 and 48184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48165 and 48184, than apply into the LCM equation.

GCF(48165,48184) = 19
LCM(48165,48184) = ( 48165 × 48184) / 19
LCM(48165,48184) = 2320782360 / 19
LCM(48165,48184) = 122146440

Least Common Multiple (LCM) of 48165 and 48184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48165 and 48184. First we will calculate the prime factors of 48165 and 48184.

Prime Factorization of 48165

Prime Factorization of 48184

Now multiplying the highest exponent prime factors to calculate the LCM of 48165 and 48184.

LCM(48165,48184) = 3¹ × 5¹ × 13² × 19¹ × 2³ × 317¹
LCM(48165,48184) = 122146440