GCF and LCM Calculator Logo

What is the Least Common Multiple of 48872 and 48879?

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 48872 and 48879 is 2388814488.

LCM(48872,48879) = 2388814488

LCM Calculator and
and

Least Common Multiple of 48872 and 48879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48872 and 48879, than apply into the LCM equation.

GCF(48872,48879) = 1
LCM(48872,48879) = ( 48872 × 48879) / 1
LCM(48872,48879) = 2388814488 / 1
LCM(48872,48879) = 2388814488

Least Common Multiple (LCM) of 48872 and 48879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48872 and 48879. First we will calculate the prime factors of 48872 and 48879.

Prime Factorization of 48872

Prime factors of 48872 are 2, 41, 149. Prime factorization of 48872 in exponential form is:

48872 = 23 × 411 × 1491

Prime Factorization of 48879

Prime factors of 48879 are 3, 5431. Prime factorization of 48879 in exponential form is:

48879 = 32 × 54311

Now multiplying the highest exponent prime factors to calculate the LCM of 48872 and 48879.

LCM(48872,48879) = 23 × 411 × 1491 × 32 × 54311
LCM(48872,48879) = 2388814488