Least Common Multiple of 4675 and 4682

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 4682 the smallest integer that is 21888350 that is divisible by both numbers.

Least Common Multiple (LCM) of 4675 and 4682 is 21888350.

LCM(4675,4682) = 21888350

LCM of 4675 and 4682

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

LCM of:
and

Least Common Multiple of 4675 and 4682

LCM of 4675 and 4682 is 21888350

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4682. First we will calculate the prime factors of 4675 and 4682.

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 4682


2 4682
2341 2341
1

Prime factors of 4682 are 2,2341. Prime factorization of 4682 in exponential form is:

4682 = 21×23411

Now multiplying the highest exponent prime factors to calculate the LCM of 4675 and 4682.

LCM(4675,4682) = 21×52×111×171×23411
LCM(4675,4682) = 21888350

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 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1, 2, 2341, 4682

Least Common Multiple of 4675 and 4682 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 4682, than apply into the LCM equation.

GCF(4675,4682) = 1
LCM(4675,4682) = ( 4675 × 4682) / 1
LCM(4675,4682) = 21888350 / 1
LCM(4675,4682) = 21888350

Properties of LCM 4675 and 4682

(i) The LCM of 4682 and 4675 is associative

LCM of 4675 and 4682 = LCM of 4682 and 4675

Related Least Common Multiples of 4675

Related Least Common Multiples of 4682

Frequently Asked Questions on LCM of 4675 and 4682

1. What is the LCM of 4675 and 4682?

Answer: LCM of 4675 and 4682 is 21888350.

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 4682?

Answer: Factors of 4682 are 1, 2, 2341, 4682. There are 4 integers that are factors of 4682. The greatest factor of 4682 is 4682.

4. How to Find the LCM of 4675 and 4682?

Answer:

Least Common Multiple of 4675 and 4682 = 21888350

Step 1: Find the prime factorization of 4675

4675 = 5 x 5 x 11 x 17

Step 2: Find the prime factorization of 4682

4682 = 2 x 2341

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

LCM = 21888350 = 2 x 5 x 5 x 11 x 17 x 2341

Step 4: Therefore, the least common multiple of 4675 and 4682 is 21888350.