Least Common Multiple of 4869 and 4874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4869 and 4874 the smallest integer that is 23731506 that is divisible by both numbers.

Least Common Multiple (LCM) of 4869 and 4874 is 23731506.

LCM(4869,4874) = 23731506

LCM of 4869 and 4874

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

LCM of:
and

Least Common Multiple of 4869 and 4874

LCM of 4869 and 4874 is 23731506

Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4874. First we will calculate the prime factors of 4869 and 4874.

Prime Factorization of 4869


3 4869
3 1623
541 541
1

Prime factors of 4869 are 3,541. Prime factorization of 4869 in exponential form is:

4869 = 32×5411

Prime Factorization of 4874


2 4874
2437 2437
1

Prime factors of 4874 are 2,2437. Prime factorization of 4874 in exponential form is:

4874 = 21×24371

Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4874.

LCM(4869,4874) = 21×32×5411×24371
LCM(4869,4874) = 23731506

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1, 3, 9, 541, 1623, 4869

Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1, 2, 2437, 4874

Least Common Multiple of 4869 and 4874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4869 and 4874, than apply into the LCM equation.

GCF(4869,4874) = 1
LCM(4869,4874) = ( 4869 × 4874) / 1
LCM(4869,4874) = 23731506 / 1
LCM(4869,4874) = 23731506

Properties of LCM 4869 and 4874

(i) The LCM of 4874 and 4869 is associative

LCM of 4869 and 4874 = LCM of 4874 and 4869

Related Least Common Multiples of 4869

Related Least Common Multiples of 4874

Frequently Asked Questions on LCM of 4869 and 4874

1. What is the LCM of 4869 and 4874?

Answer: LCM of 4869 and 4874 is 23731506.

2. What are the Factors of 4869?

Answer: Factors of 4869 are 1, 3, 9, 541, 1623, 4869. There are 6 integers that are factors of 4869. The greatest factor of 4869 is 4869.

3. What are the Factors of 4874?

Answer: Factors of 4874 are 1, 2, 2437, 4874. There are 4 integers that are factors of 4874. The greatest factor of 4874 is 4874.

4. How to Find the LCM of 4869 and 4874?

Answer:

Least Common Multiple of 4869 and 4874 = 23731506

Step 1: Find the prime factorization of 4869

4869 = 3 x 3 x 541

Step 2: Find the prime factorization of 4874

4874 = 2 x 2437

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

LCM = 23731506 = 2 x 3 x 3 x 541 x 2437

Step 4: Therefore, the least common multiple of 4869 and 4874 is 23731506.