Least Common Multiple of 4709 and 4716

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 4716 the smallest integer that is 22207644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4709 and 4716 is 22207644.

LCM(4709,4716) = 22207644

LCM of 4709 and 4716

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

LCM of:
and

Least Common Multiple of 4709 and 4716

LCM of 4709 and 4716 is 22207644

Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4716. First we will calculate the prime factors of 4709 and 4716.

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 4716


2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 4716 are 2, 3,131. Prime factorization of 4716 in exponential form is:

4716 = 22×32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4716.

LCM(4709,4716) = 22×32×171×1311×2771
LCM(4709,4716) = 22207644

Factors of 4709

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

1, 17, 277, 4709

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716

Least Common Multiple of 4709 and 4716 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 4716, than apply into the LCM equation.

GCF(4709,4716) = 1
LCM(4709,4716) = ( 4709 × 4716) / 1
LCM(4709,4716) = 22207644 / 1
LCM(4709,4716) = 22207644

Properties of LCM 4709 and 4716

(i) The LCM of 4716 and 4709 is associative

LCM of 4709 and 4716 = LCM of 4716 and 4709

Related Least Common Multiples of 4709

Related Least Common Multiples of 4716

Frequently Asked Questions on LCM of 4709 and 4716

1. What is the LCM of 4709 and 4716?

Answer: LCM of 4709 and 4716 is 22207644.

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 4716?

Answer: Factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716. There are 18 integers that are factors of 4716. The greatest factor of 4716 is 4716.

4. How to Find the LCM of 4709 and 4716?

Answer:

Least Common Multiple of 4709 and 4716 = 22207644

Step 1: Find the prime factorization of 4709

4709 = 17 x 277

Step 2: Find the prime factorization of 4716

4716 = 2 x 2 x 3 x 3 x 131

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

LCM = 22207644 = 2 x 2 x 3 x 3 x 17 x 131 x 277

Step 4: Therefore, the least common multiple of 4709 and 4716 is 22207644.