Least Common Multiple of 4872 and 4877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4872 and 4877 the smallest integer that is 23760744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4872 and 4877 is 23760744.

LCM(4872,4877) = 23760744

LCM of 4872 and 4877

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

LCM of:
and

Least Common Multiple of 4872 and 4877

LCM of 4872 and 4877 is 23760744

Least common multiple can be found by multiplying the highest exponent prime factors of 4872 and 4877. First we will calculate the prime factors of 4872 and 4877.

Prime Factorization of 4872


2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 4872 are 2, 3, 7,29. Prime factorization of 4872 in exponential form is:

4872 = 23×31×71×291

Prime Factorization of 4877


4877 4877
1

Prime factors of 4877 are 4877. Prime factorization of 4877 in exponential form is:

4877 = 48771

Now multiplying the highest exponent prime factors to calculate the LCM of 4872 and 4877.

LCM(4872,4877) = 23×31×71×291×48771
LCM(4872,4877) = 23760744

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872

Factors of 4877

List of positive integer factors of 4877 that divides 4877 without a remainder.

1, 4877

Least Common Multiple of 4872 and 4877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4872 and 4877, than apply into the LCM equation.

GCF(4872,4877) = 1
LCM(4872,4877) = ( 4872 × 4877) / 1
LCM(4872,4877) = 23760744 / 1
LCM(4872,4877) = 23760744

Properties of LCM 4872 and 4877

(i) The LCM of 4877 and 4872 is associative

LCM of 4872 and 4877 = LCM of 4877 and 4872

Related Least Common Multiples of 4872

Related Least Common Multiples of 4877

Frequently Asked Questions on LCM of 4872 and 4877

1. What is the LCM of 4872 and 4877?

Answer: LCM of 4872 and 4877 is 23760744.

2. What are the Factors of 4872?

Answer: Factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872. There are 32 integers that are factors of 4872. The greatest factor of 4872 is 4872.

3. What are the Factors of 4877?

Answer: Factors of 4877 are 1, 4877. There are 2 integers that are factors of 4877. The greatest factor of 4877 is 4877.

4. How to Find the LCM of 4872 and 4877?

Answer:

Least Common Multiple of 4872 and 4877 = 23760744

Step 1: Find the prime factorization of 4872

4872 = 2 x 2 x 2 x 3 x 7 x 29

Step 2: Find the prime factorization of 4877

4877 = 4877

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

LCM = 23760744 = 2 x 2 x 2 x 3 x 7 x 29 x 4877

Step 4: Therefore, the least common multiple of 4872 and 4877 is 23760744.