GCF and LCM Calculator Logo

What is the Least Common Multiple of 48842 and 48855?

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 48842 and 48855 is 2386175910.

LCM(48842,48855) = 2386175910

LCM Calculator and
and

Least Common Multiple of 48842 and 48855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48842 and 48855, than apply into the LCM equation.

GCF(48842,48855) = 1
LCM(48842,48855) = ( 48842 × 48855) / 1
LCM(48842,48855) = 2386175910 / 1
LCM(48842,48855) = 2386175910

Least Common Multiple (LCM) of 48842 and 48855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48842 and 48855. First we will calculate the prime factors of 48842 and 48855.

Prime Factorization of 48842

Prime factors of 48842 are 2, 24421. Prime factorization of 48842 in exponential form is:

48842 = 21 × 244211

Prime Factorization of 48855

Prime factors of 48855 are 3, 5, 3257. Prime factorization of 48855 in exponential form is:

48855 = 31 × 51 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 48842 and 48855.

LCM(48842,48855) = 21 × 244211 × 31 × 51 × 32571
LCM(48842,48855) = 2386175910