GCF and LCM Calculator Logo

What is the Least Common Multiple of 48315 and 48335?

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 (LCM) of 48315 and 48335 is 467061105.

LCM(48315,48335) = 467061105

LCM Calculator and
and

Least Common Multiple of 48315 and 48335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48315 and 48335, than apply into the LCM equation.

GCF(48315,48335) = 5
LCM(48315,48335) = ( 48315 × 48335) / 5
LCM(48315,48335) = 2335305525 / 5
LCM(48315,48335) = 467061105

Least Common Multiple (LCM) of 48315 and 48335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48315 and 48335. First we will calculate the prime factors of 48315 and 48335.

Prime Factorization of 48315

Prime factors of 48315 are 3, 5, 3221. Prime factorization of 48315 in exponential form is:

48315 = 31 × 51 × 32211

Prime Factorization of 48335

Prime factors of 48335 are 5, 7, 1381. Prime factorization of 48335 in exponential form is:

48335 = 51 × 71 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 48315 and 48335.

LCM(48315,48335) = 31 × 51 × 32211 × 71 × 13811
LCM(48315,48335) = 467061105