Least Common Multiple of 4695 and 4700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4695 and 4700 the smallest integer that is 4413300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4695 and 4700 is 4413300.

LCM(4695,4700) = 4413300

LCM of 4695 and 4700

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

LCM of:
and

Least Common Multiple of 4695 and 4700

LCM of 4695 and 4700 is 4413300

Least common multiple can be found by multiplying the highest exponent prime factors of 4695 and 4700. First we will calculate the prime factors of 4695 and 4700.

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

Prime Factorization of 4700


2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 4700 are 2, 5,47. Prime factorization of 4700 in exponential form is:

4700 = 22×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4695 and 4700.

LCM(4695,4700) = 22×31×52×471×3131
LCM(4695,4700) = 4413300

Factors of 4695

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

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

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700

Least Common Multiple of 4695 and 4700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4695 and 4700, than apply into the LCM equation.

GCF(4695,4700) = 5
LCM(4695,4700) = ( 4695 × 4700) / 5
LCM(4695,4700) = 22066500 / 5
LCM(4695,4700) = 4413300

Properties of LCM 4695 and 4700

(i) The LCM of 4700 and 4695 is associative

LCM of 4695 and 4700 = LCM of 4700 and 4695

Related Least Common Multiples of 4695

Related Least Common Multiples of 4700

Frequently Asked Questions on LCM of 4695 and 4700

1. What is the LCM of 4695 and 4700?

Answer: LCM of 4695 and 4700 is 4413300.

2. 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.

3. What are the Factors of 4700?

Answer: Factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700. There are 18 integers that are factors of 4700. The greatest factor of 4700 is 4700.

4. How to Find the LCM of 4695 and 4700?

Answer:

Least Common Multiple of 4695 and 4700 = 4413300

Step 1: Find the prime factorization of 4695

4695 = 3 x 5 x 313

Step 2: Find the prime factorization of 4700

4700 = 2 x 2 x 5 x 5 x 47

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

LCM = 4413300 = 2 x 2 x 3 x 5 x 5 x 47 x 313

Step 4: Therefore, the least common multiple of 4695 and 4700 is 4413300.