Least Common Multiple of 4687 and 4695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4687 and 4695 the smallest integer that is 22005465 that is divisible by both numbers.

Least Common Multiple (LCM) of 4687 and 4695 is 22005465.

LCM(4687,4695) = 22005465

LCM of 4687 and 4695

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

LCM of:
and

Least Common Multiple of 4687 and 4695

LCM of 4687 and 4695 is 22005465

Least common multiple can be found by multiplying the highest exponent prime factors of 4687 and 4695. First we will calculate the prime factors of 4687 and 4695.

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

Prime Factorization of 4695


3 4695
5 1565
313 313
1

Prime factors of 4695 are 3, 5,313. Prime factorization of 4695 in exponential form is:

4695 = 31×51×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 4687 and 4695.

LCM(4687,4695) = 31×51×431×1091×3131
LCM(4687,4695) = 22005465

Factors of 4687

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

1, 43, 109, 4687

Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1, 3, 5, 15, 313, 939, 1565, 4695

Least Common Multiple of 4687 and 4695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4687 and 4695, than apply into the LCM equation.

GCF(4687,4695) = 1
LCM(4687,4695) = ( 4687 × 4695) / 1
LCM(4687,4695) = 22005465 / 1
LCM(4687,4695) = 22005465

Properties of LCM 4687 and 4695

(i) The LCM of 4695 and 4687 is associative

LCM of 4687 and 4695 = LCM of 4695 and 4687

Related Least Common Multiples of 4687

Related Least Common Multiples of 4695

Frequently Asked Questions on LCM of 4687 and 4695

1. What is the LCM of 4687 and 4695?

Answer: LCM of 4687 and 4695 is 22005465.

2. 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.

3. What are the Factors of 4695?

Answer: Factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695. There are 8 integers that are factors of 4695. The greatest factor of 4695 is 4695.

4. How to Find the LCM of 4687 and 4695?

Answer:

Least Common Multiple of 4687 and 4695 = 22005465

Step 1: Find the prime factorization of 4687

4687 = 43 x 109

Step 2: Find the prime factorization of 4695

4695 = 3 x 5 x 313

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

LCM = 22005465 = 3 x 5 x 43 x 109 x 313

Step 4: Therefore, the least common multiple of 4687 and 4695 is 22005465.