Least Common Multiple of 4695 and 4696

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 4696 the smallest integer that is 22047720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4695 and 4696 is 22047720.

LCM(4695,4696) = 22047720

LCM of 4695 and 4696

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

LCM of:
and

Least Common Multiple of 4695 and 4696

LCM of 4695 and 4696 is 22047720

Least common multiple can be found by multiplying the highest exponent prime factors of 4695 and 4696. First we will calculate the prime factors of 4695 and 4696.

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 4696


2 4696
2 2348
2 1174
587 587
1

Prime factors of 4696 are 2,587. Prime factorization of 4696 in exponential form is:

4696 = 23×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 4695 and 4696.

LCM(4695,4696) = 23×31×51×3131×5871
LCM(4695,4696) = 22047720

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 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1, 2, 4, 8, 587, 1174, 2348, 4696

Least Common Multiple of 4695 and 4696 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 4696, than apply into the LCM equation.

GCF(4695,4696) = 1
LCM(4695,4696) = ( 4695 × 4696) / 1
LCM(4695,4696) = 22047720 / 1
LCM(4695,4696) = 22047720

Properties of LCM 4695 and 4696

(i) The LCM of 4696 and 4695 is associative

LCM of 4695 and 4696 = LCM of 4696 and 4695

Related Least Common Multiples of 4695

Related Least Common Multiples of 4696

Frequently Asked Questions on LCM of 4695 and 4696

1. What is the LCM of 4695 and 4696?

Answer: LCM of 4695 and 4696 is 22047720.

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 4696?

Answer: Factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696. There are 8 integers that are factors of 4696. The greatest factor of 4696 is 4696.

4. How to Find the LCM of 4695 and 4696?

Answer:

Least Common Multiple of 4695 and 4696 = 22047720

Step 1: Find the prime factorization of 4695

4695 = 3 x 5 x 313

Step 2: Find the prime factorization of 4696

4696 = 2 x 2 x 2 x 587

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

LCM = 22047720 = 2 x 2 x 2 x 3 x 5 x 313 x 587

Step 4: Therefore, the least common multiple of 4695 and 4696 is 22047720.