Least Common Multiple of 4696 and 4702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4696 and 4702 the smallest integer that is 11040296 that is divisible by both numbers.

Least Common Multiple (LCM) of 4696 and 4702 is 11040296.

LCM(4696,4702) = 11040296

LCM of 4696 and 4702

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

LCM of:
and

Least Common Multiple of 4696 and 4702

LCM of 4696 and 4702 is 11040296

Least common multiple can be found by multiplying the highest exponent prime factors of 4696 and 4702. First we will calculate the prime factors of 4696 and 4702.

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

Prime Factorization of 4702


2 4702
2351 2351
1

Prime factors of 4702 are 2,2351. Prime factorization of 4702 in exponential form is:

4702 = 21×23511

Now multiplying the highest exponent prime factors to calculate the LCM of 4696 and 4702.

LCM(4696,4702) = 23×5871×23511
LCM(4696,4702) = 11040296

Factors of 4696

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

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

Factors of 4702

List of positive integer factors of 4702 that divides 4702 without a remainder.

1, 2, 2351, 4702

Least Common Multiple of 4696 and 4702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4696 and 4702, than apply into the LCM equation.

GCF(4696,4702) = 2
LCM(4696,4702) = ( 4696 × 4702) / 2
LCM(4696,4702) = 22080592 / 2
LCM(4696,4702) = 11040296

Properties of LCM 4696 and 4702

(i) The LCM of 4702 and 4696 is associative

LCM of 4696 and 4702 = LCM of 4702 and 4696

Related Least Common Multiples of 4696

Related Least Common Multiples of 4702

Frequently Asked Questions on LCM of 4696 and 4702

1. What is the LCM of 4696 and 4702?

Answer: LCM of 4696 and 4702 is 11040296.

2. 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.

3. What are the Factors of 4702?

Answer: Factors of 4702 are 1, 2, 2351, 4702. There are 4 integers that are factors of 4702. The greatest factor of 4702 is 4702.

4. How to Find the LCM of 4696 and 4702?

Answer:

Least Common Multiple of 4696 and 4702 = 11040296

Step 1: Find the prime factorization of 4696

4696 = 2 x 2 x 2 x 587

Step 2: Find the prime factorization of 4702

4702 = 2 x 2351

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

LCM = 11040296 = 2 x 2 x 2 x 587 x 2351

Step 4: Therefore, the least common multiple of 4696 and 4702 is 11040296.