Least Common Multiple of 4704 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 4704 and 4709 the smallest integer that is 22151136 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4709 is 22151136.

LCM(4704,4709) = 22151136

LCM of 4704 and 4709

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

LCM of:
and

Least Common Multiple of 4704 and 4709

LCM of 4704 and 4709 is 22151136

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4709. First we will calculate the prime factors of 4704 and 4709.

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2, 3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

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 4704 and 4709.

LCM(4704,4709) = 25×31×72×171×2771
LCM(4704,4709) = 22151136

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

Factors of 4709

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

1, 17, 277, 4709

Least Common Multiple of 4704 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 4704 and 4709, than apply into the LCM equation.

GCF(4704,4709) = 1
LCM(4704,4709) = ( 4704 × 4709) / 1
LCM(4704,4709) = 22151136 / 1
LCM(4704,4709) = 22151136

Properties of LCM 4704 and 4709

(i) The LCM of 4709 and 4704 is associative

LCM of 4704 and 4709 = LCM of 4709 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4709

Frequently Asked Questions on LCM of 4704 and 4709

1. What is the LCM of 4704 and 4709?

Answer: LCM of 4704 and 4709 is 22151136.

2. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

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 4704 and 4709?

Answer:

Least Common Multiple of 4704 and 4709 = 22151136

Step 1: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

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 = 22151136 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 17 x 277

Step 4: Therefore, the least common multiple of 4704 and 4709 is 22151136.