Least Common Multiple of 4709 and 4714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4709 and 4714 the smallest integer that is 22198226 that is divisible by both numbers.

Least Common Multiple (LCM) of 4709 and 4714 is 22198226.

LCM(4709,4714) = 22198226

LCM of 4709 and 4714

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

LCM of:
and

Least Common Multiple of 4709 and 4714

LCM of 4709 and 4714 is 22198226

Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4714. First we will calculate the prime factors of 4709 and 4714.

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

Prime Factorization of 4714


2 4714
2357 2357
1

Prime factors of 4714 are 2,2357. Prime factorization of 4714 in exponential form is:

4714 = 21×23571

Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4714.

LCM(4709,4714) = 21×171×2771×23571
LCM(4709,4714) = 22198226

Factors of 4709

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

1, 17, 277, 4709

Factors of 4714

List of positive integer factors of 4714 that divides 4714 without a remainder.

1, 2, 2357, 4714

Least Common Multiple of 4709 and 4714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4714, than apply into the LCM equation.

GCF(4709,4714) = 1
LCM(4709,4714) = ( 4709 × 4714) / 1
LCM(4709,4714) = 22198226 / 1
LCM(4709,4714) = 22198226

Properties of LCM 4709 and 4714

(i) The LCM of 4714 and 4709 is associative

LCM of 4709 and 4714 = LCM of 4714 and 4709

Related Least Common Multiples of 4709

Related Least Common Multiples of 4714

Frequently Asked Questions on LCM of 4709 and 4714

1. What is the LCM of 4709 and 4714?

Answer: LCM of 4709 and 4714 is 22198226.

2. 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.

3. What are the Factors of 4714?

Answer: Factors of 4714 are 1, 2, 2357, 4714. There are 4 integers that are factors of 4714. The greatest factor of 4714 is 4714.

4. How to Find the LCM of 4709 and 4714?

Answer:

Least Common Multiple of 4709 and 4714 = 22198226

Step 1: Find the prime factorization of 4709

4709 = 17 x 277

Step 2: Find the prime factorization of 4714

4714 = 2 x 2357

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

LCM = 22198226 = 2 x 17 x 277 x 2357

Step 4: Therefore, the least common multiple of 4709 and 4714 is 22198226.