Least Common Multiple of 4878 and 4886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4878 and 4886 the smallest integer that is 11916954 that is divisible by both numbers.

Least Common Multiple (LCM) of 4878 and 4886 is 11916954.

LCM(4878,4886) = 11916954

LCM of 4878 and 4886

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4878 and 4886

LCM of 4878 and 4886 is 11916954

Least common multiple can be found by multiplying the highest exponent prime factors of 4878 and 4886. First we will calculate the prime factors of 4878 and 4886.

Prime Factorization of 4878


2 4878
3 2439
3 813
271 271
1

Prime factors of 4878 are 2, 3,271. Prime factorization of 4878 in exponential form is:

4878 = 21×32×2711

Prime Factorization of 4886


2 4886
7 2443
349 349
1

Prime factors of 4886 are 2, 7,349. Prime factorization of 4886 in exponential form is:

4886 = 21×71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 4878 and 4886.

LCM(4878,4886) = 21×32×71×2711×3491
LCM(4878,4886) = 11916954

Factors of 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878

Factors of 4886

List of positive integer factors of 4886 that divides 4886 without a remainder.

1, 2, 7, 14, 349, 698, 2443, 4886

Least Common Multiple of 4878 and 4886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4878 and 4886, than apply into the LCM equation.

GCF(4878,4886) = 2
LCM(4878,4886) = ( 4878 × 4886) / 2
LCM(4878,4886) = 23833908 / 2
LCM(4878,4886) = 11916954

Properties of LCM 4878 and 4886

(i) The LCM of 4886 and 4878 is associative

LCM of 4878 and 4886 = LCM of 4886 and 4878

Related Least Common Multiples of 4878

Related Least Common Multiples of 4886

Frequently Asked Questions on LCM of 4878 and 4886

1. What is the LCM of 4878 and 4886?

Answer: LCM of 4878 and 4886 is 11916954.

2. What are the Factors of 4878?

Answer: Factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878. There are 12 integers that are factors of 4878. The greatest factor of 4878 is 4878.

3. What are the Factors of 4886?

Answer: Factors of 4886 are 1, 2, 7, 14, 349, 698, 2443, 4886. There are 8 integers that are factors of 4886. The greatest factor of 4886 is 4886.

4. How to Find the LCM of 4878 and 4886?

Answer:

Least Common Multiple of 4878 and 4886 = 11916954

Step 1: Find the prime factorization of 4878

4878 = 2 x 3 x 3 x 271

Step 2: Find the prime factorization of 4886

4886 = 2 x 7 x 349

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11916954 = 2 x 3 x 3 x 7 x 271 x 349

Step 4: Therefore, the least common multiple of 4878 and 4886 is 11916954.