Least Common Multiple of 4675 and 4681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4675 and 4681 the smallest integer that is 21883675 that is divisible by both numbers.

Least Common Multiple (LCM) of 4675 and 4681 is 21883675.

LCM(4675,4681) = 21883675

LCM of 4675 and 4681

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

LCM of:
and

Least Common Multiple of 4675 and 4681

LCM of 4675 and 4681 is 21883675

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4681. First we will calculate the prime factors of 4675 and 4681.

Prime Factorization of 4675


5 4675
5 935
11 187
17 17
1

Prime factors of 4675 are 5, 11,17. Prime factorization of 4675 in exponential form is:

4675 = 52×111×171

Prime Factorization of 4681


31 4681
151 151
1

Prime factors of 4681 are 31,151. Prime factorization of 4681 in exponential form is:

4681 = 311×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4675 and 4681.

LCM(4675,4681) = 52×111×171×311×1511
LCM(4675,4681) = 21883675

Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675

Factors of 4681

List of positive integer factors of 4681 that divides 4681 without a remainder.

1, 31, 151, 4681

Least Common Multiple of 4675 and 4681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4675 and 4681, than apply into the LCM equation.

GCF(4675,4681) = 1
LCM(4675,4681) = ( 4675 × 4681) / 1
LCM(4675,4681) = 21883675 / 1
LCM(4675,4681) = 21883675

Properties of LCM 4675 and 4681

(i) The LCM of 4681 and 4675 is associative

LCM of 4675 and 4681 = LCM of 4681 and 4675

Related Least Common Multiples of 4675

Related Least Common Multiples of 4681

Frequently Asked Questions on LCM of 4675 and 4681

1. What is the LCM of 4675 and 4681?

Answer: LCM of 4675 and 4681 is 21883675.

2. What are the Factors of 4675?

Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.

3. What are the Factors of 4681?

Answer: Factors of 4681 are 1, 31, 151, 4681. There are 4 integers that are factors of 4681. The greatest factor of 4681 is 4681.

4. How to Find the LCM of 4675 and 4681?

Answer:

Least Common Multiple of 4675 and 4681 = 21883675

Step 1: Find the prime factorization of 4675

4675 = 5 x 5 x 11 x 17

Step 2: Find the prime factorization of 4681

4681 = 31 x 151

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

LCM = 21883675 = 5 x 5 x 11 x 17 x 31 x 151

Step 4: Therefore, the least common multiple of 4675 and 4681 is 21883675.