What is the Least Common Multiple of 48240 and 48255?

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 48240 and 48255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48240 and 48255, than apply into the LCM equation.

GCF(48240,48255) = 15
LCM(48240,48255) = ( 48240 × 48255) / 15
LCM(48240,48255) = 2327821200 / 15
LCM(48240,48255) = 155188080

Least Common Multiple (LCM) of 48240 and 48255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48240 and 48255. First we will calculate the prime factors of 48240 and 48255.

Prime Factorization of 48240

Prime Factorization of 48255

Now multiplying the highest exponent prime factors to calculate the LCM of 48240 and 48255.

LCM(48240,48255) = 2⁴ × 3² × 5¹ × 67¹ × 3217¹
LCM(48240,48255) = 155188080