Least Common Multiple of 4702 and 4708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4702 and 4708 the smallest integer that is 11068508 that is divisible by both numbers.

Least Common Multiple (LCM) of 4702 and 4708 is 11068508.

LCM(4702,4708) = 11068508

LCM of 4702 and 4708

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

LCM of:
and

Least Common Multiple of 4702 and 4708

LCM of 4702 and 4708 is 11068508

Least common multiple can be found by multiplying the highest exponent prime factors of 4702 and 4708. First we will calculate the prime factors of 4702 and 4708.

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

Prime Factorization of 4708


2 4708
2 2354
11 1177
107 107
1

Prime factors of 4708 are 2, 11,107. Prime factorization of 4708 in exponential form is:

4708 = 22×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4702 and 4708.

LCM(4702,4708) = 22×111×1071×23511
LCM(4702,4708) = 11068508

Factors of 4702

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

1, 2, 2351, 4702

Factors of 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708

Least Common Multiple of 4702 and 4708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4702 and 4708, than apply into the LCM equation.

GCF(4702,4708) = 2
LCM(4702,4708) = ( 4702 × 4708) / 2
LCM(4702,4708) = 22137016 / 2
LCM(4702,4708) = 11068508

Properties of LCM 4702 and 4708

(i) The LCM of 4708 and 4702 is associative

LCM of 4702 and 4708 = LCM of 4708 and 4702

Related Least Common Multiples of 4702

Related Least Common Multiples of 4708

Frequently Asked Questions on LCM of 4702 and 4708

1. What is the LCM of 4702 and 4708?

Answer: LCM of 4702 and 4708 is 11068508.

2. 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.

3. What are the Factors of 4708?

Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.

4. How to Find the LCM of 4702 and 4708?

Answer:

Least Common Multiple of 4702 and 4708 = 11068508

Step 1: Find the prime factorization of 4702

4702 = 2 x 2351

Step 2: Find the prime factorization of 4708

4708 = 2 x 2 x 11 x 107

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

LCM = 11068508 = 2 x 2 x 11 x 107 x 2351

Step 4: Therefore, the least common multiple of 4702 and 4708 is 11068508.