Least Common Multiple of 4708 and 4709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4708 and 4709 the smallest integer that is 22169972 that is divisible by both numbers.

Least Common Multiple (LCM) of 4708 and 4709 is 22169972.

LCM(4708,4709) = 22169972

LCM of 4708 and 4709

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

LCM of:
and

Least Common Multiple of 4708 and 4709

LCM of 4708 and 4709 is 22169972

Least common multiple can be found by multiplying the highest exponent prime factors of 4708 and 4709. First we will calculate the prime factors of 4708 and 4709.

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

Prime Factorization of 4709


17 4709
277 277
1

Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:

4709 = 171×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4708 and 4709.

LCM(4708,4709) = 22×111×171×1071×2771
LCM(4708,4709) = 22169972

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

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1, 17, 277, 4709

Least Common Multiple of 4708 and 4709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4708 and 4709, than apply into the LCM equation.

GCF(4708,4709) = 1
LCM(4708,4709) = ( 4708 × 4709) / 1
LCM(4708,4709) = 22169972 / 1
LCM(4708,4709) = 22169972

Properties of LCM 4708 and 4709

(i) The LCM of 4709 and 4708 is associative

LCM of 4708 and 4709 = LCM of 4709 and 4708

Related Least Common Multiples of 4708

Related Least Common Multiples of 4709

Frequently Asked Questions on LCM of 4708 and 4709

1. What is the LCM of 4708 and 4709?

Answer: LCM of 4708 and 4709 is 22169972.

2. 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.

3. What are the Factors of 4709?

Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.

4. How to Find the LCM of 4708 and 4709?

Answer:

Least Common Multiple of 4708 and 4709 = 22169972

Step 1: Find the prime factorization of 4708

4708 = 2 x 2 x 11 x 107

Step 2: Find the prime factorization of 4709

4709 = 17 x 277

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

LCM = 22169972 = 2 x 2 x 11 x 17 x 107 x 277

Step 4: Therefore, the least common multiple of 4708 and 4709 is 22169972.