Least Common Multiple of 4682 and 4687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4682 and 4687 the smallest integer that is 21944534 that is divisible by both numbers.

Least Common Multiple (LCM) of 4682 and 4687 is 21944534.

LCM(4682,4687) = 21944534

LCM of 4682 and 4687

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

LCM of:
and

Least Common Multiple of 4682 and 4687

LCM of 4682 and 4687 is 21944534

Least common multiple can be found by multiplying the highest exponent prime factors of 4682 and 4687. First we will calculate the prime factors of 4682 and 4687.

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

Prime Factorization of 4687


43 4687
109 109
1

Prime factors of 4687 are 43,109. Prime factorization of 4687 in exponential form is:

4687 = 431×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4682 and 4687.

LCM(4682,4687) = 21×431×1091×23411
LCM(4682,4687) = 21944534

Factors of 4682

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

1, 2, 2341, 4682

Factors of 4687

List of positive integer factors of 4687 that divides 4687 without a remainder.

1, 43, 109, 4687

Least Common Multiple of 4682 and 4687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4682 and 4687, than apply into the LCM equation.

GCF(4682,4687) = 1
LCM(4682,4687) = ( 4682 × 4687) / 1
LCM(4682,4687) = 21944534 / 1
LCM(4682,4687) = 21944534

Properties of LCM 4682 and 4687

(i) The LCM of 4687 and 4682 is associative

LCM of 4682 and 4687 = LCM of 4687 and 4682

Related Least Common Multiples of 4682

Related Least Common Multiples of 4687

Frequently Asked Questions on LCM of 4682 and 4687

1. What is the LCM of 4682 and 4687?

Answer: LCM of 4682 and 4687 is 21944534.

2. 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.

3. What are the Factors of 4687?

Answer: Factors of 4687 are 1, 43, 109, 4687. There are 4 integers that are factors of 4687. The greatest factor of 4687 is 4687.

4. How to Find the LCM of 4682 and 4687?

Answer:

Least Common Multiple of 4682 and 4687 = 21944534

Step 1: Find the prime factorization of 4682

4682 = 2 x 2341

Step 2: Find the prime factorization of 4687

4687 = 43 x 109

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

LCM = 21944534 = 2 x 43 x 109 x 2341

Step 4: Therefore, the least common multiple of 4682 and 4687 is 21944534.