Least Common Multiple of 4688 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 4688 and 4695 the smallest integer that is 22010160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4688 and 4695 is 22010160.

LCM(4688,4695) = 22010160

LCM of 4688 and 4695

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

LCM of:
and

Least Common Multiple of 4688 and 4695

LCM of 4688 and 4695 is 22010160

Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4695. First we will calculate the prime factors of 4688 and 4695.

Prime Factorization of 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

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 4688 and 4695.

LCM(4688,4695) = 24×31×51×2931×3131
LCM(4688,4695) = 22010160

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688

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 4688 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 4688 and 4695, than apply into the LCM equation.

GCF(4688,4695) = 1
LCM(4688,4695) = ( 4688 × 4695) / 1
LCM(4688,4695) = 22010160 / 1
LCM(4688,4695) = 22010160

Properties of LCM 4688 and 4695

(i) The LCM of 4695 and 4688 is associative

LCM of 4688 and 4695 = LCM of 4695 and 4688

Related Least Common Multiples of 4688

Related Least Common Multiples of 4695

Frequently Asked Questions on LCM of 4688 and 4695

1. What is the LCM of 4688 and 4695?

Answer: LCM of 4688 and 4695 is 22010160.

2. What are the Factors of 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

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 4688 and 4695?

Answer:

Least Common Multiple of 4688 and 4695 = 22010160

Step 1: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

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 = 22010160 = 2 x 2 x 2 x 2 x 3 x 5 x 293 x 313

Step 4: Therefore, the least common multiple of 4688 and 4695 is 22010160.