Least Common Multiple of 4692 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 4692 and 4696 the smallest integer that is 5508408 that is divisible by both numbers.

Least Common Multiple (LCM) of 4692 and 4696 is 5508408.

LCM(4692,4696) = 5508408

LCM of 4692 and 4696

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

LCM of:
and

Least Common Multiple of 4692 and 4696

LCM of 4692 and 4696 is 5508408

Least common multiple can be found by multiplying the highest exponent prime factors of 4692 and 4696. First we will calculate the prime factors of 4692 and 4696.

Prime Factorization of 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2, 3, 17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

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 4692 and 4696.

LCM(4692,4696) = 23×31×171×231×5871
LCM(4692,4696) = 5508408

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692

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 4692 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 4692 and 4696, than apply into the LCM equation.

GCF(4692,4696) = 4
LCM(4692,4696) = ( 4692 × 4696) / 4
LCM(4692,4696) = 22033632 / 4
LCM(4692,4696) = 5508408

Properties of LCM 4692 and 4696

(i) The LCM of 4696 and 4692 is associative

LCM of 4692 and 4696 = LCM of 4696 and 4692

Related Least Common Multiples of 4692

Related Least Common Multiples of 4696

Frequently Asked Questions on LCM of 4692 and 4696

1. What is the LCM of 4692 and 4696?

Answer: LCM of 4692 and 4696 is 5508408.

2. What are the Factors of 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

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 4692 and 4696?

Answer:

Least Common Multiple of 4692 and 4696 = 5508408

Step 1: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

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 = 5508408 = 2 x 2 x 2 x 3 x 17 x 23 x 587

Step 4: Therefore, the least common multiple of 4692 and 4696 is 5508408.