Least Common Multiple of 4884 and 4891

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 4891 the smallest integer that is 23887644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4884 and 4891 is 23887644.

LCM(4884,4891) = 23887644

LCM of 4884 and 4891

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

LCM of:
and

Least Common Multiple of 4884 and 4891

LCM of 4884 and 4891 is 23887644

Least common multiple can be found by multiplying the highest exponent prime factors of 4884 and 4891. First we will calculate the prime factors of 4884 and 4891.

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 4891


67 4891
73 73
1

Prime factors of 4891 are 67,73. Prime factorization of 4891 in exponential form is:

4891 = 671×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4884 and 4891.

LCM(4884,4891) = 22×31×111×371×671×731
LCM(4884,4891) = 23887644

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 4891

List of positive integer factors of 4891 that divides 4891 without a remainder.

1, 67, 73, 4891

Least Common Multiple of 4884 and 4891 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 4891, than apply into the LCM equation.

GCF(4884,4891) = 1
LCM(4884,4891) = ( 4884 × 4891) / 1
LCM(4884,4891) = 23887644 / 1
LCM(4884,4891) = 23887644

Properties of LCM 4884 and 4891

(i) The LCM of 4891 and 4884 is associative

LCM of 4884 and 4891 = LCM of 4891 and 4884

Related Least Common Multiples of 4884

Related Least Common Multiples of 4891

Frequently Asked Questions on LCM of 4884 and 4891

1. What is the LCM of 4884 and 4891?

Answer: LCM of 4884 and 4891 is 23887644.

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 4891?

Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.

4. How to Find the LCM of 4884 and 4891?

Answer:

Least Common Multiple of 4884 and 4891 = 23887644

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 4891

4891 = 67 x 73

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

LCM = 23887644 = 2 x 2 x 3 x 11 x 37 x 67 x 73

Step 4: Therefore, the least common multiple of 4884 and 4891 is 23887644.