Least Common Multiple of 4884 and 4888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4884 and 4888 the smallest integer that is 5968248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4884 and 4888 is 5968248.

LCM(4884,4888) = 5968248

LCM of 4884 and 4888

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

LCM of:
and

Least Common Multiple of 4884 and 4888

LCM of 4884 and 4888 is 5968248

Least common multiple can be found by multiplying the highest exponent prime factors of 4884 and 4888. First we will calculate the prime factors of 4884 and 4888.

Prime Factorization of 4884


2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 4884 are 2, 3, 11,37. Prime factorization of 4884 in exponential form is:

4884 = 22×31×111×371

Prime Factorization of 4888


2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 4888 are 2, 13,47. Prime factorization of 4888 in exponential form is:

4888 = 23×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4884 and 4888.

LCM(4884,4888) = 23×31×111×131×371×471
LCM(4884,4888) = 5968248

Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888

Least Common Multiple of 4884 and 4888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4884 and 4888, than apply into the LCM equation.

GCF(4884,4888) = 4
LCM(4884,4888) = ( 4884 × 4888) / 4
LCM(4884,4888) = 23872992 / 4
LCM(4884,4888) = 5968248

Properties of LCM 4884 and 4888

(i) The LCM of 4888 and 4884 is associative

LCM of 4884 and 4888 = LCM of 4888 and 4884

Related Least Common Multiples of 4884

Related Least Common Multiples of 4888

Frequently Asked Questions on LCM of 4884 and 4888

1. What is the LCM of 4884 and 4888?

Answer: LCM of 4884 and 4888 is 5968248.

2. What are the Factors of 4884?

Answer: Factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884. There are 24 integers that are factors of 4884. The greatest factor of 4884 is 4884.

3. What are the Factors of 4888?

Answer: Factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888. There are 16 integers that are factors of 4888. The greatest factor of 4888 is 4888.

4. How to Find the LCM of 4884 and 4888?

Answer:

Least Common Multiple of 4884 and 4888 = 5968248

Step 1: Find the prime factorization of 4884

4884 = 2 x 2 x 3 x 11 x 37

Step 2: Find the prime factorization of 4888

4888 = 2 x 2 x 2 x 13 x 47

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

LCM = 5968248 = 2 x 2 x 2 x 3 x 11 x 13 x 37 x 47

Step 4: Therefore, the least common multiple of 4884 and 4888 is 5968248.