Least Common Multiple of 4704 and 4706

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 4706 the smallest integer that is 11068512 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4706 is 11068512.

LCM(4704,4706) = 11068512

LCM of 4704 and 4706

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

LCM of:
and

Least Common Multiple of 4704 and 4706

LCM of 4704 and 4706 is 11068512

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4706. First we will calculate the prime factors of 4704 and 4706.

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 4706


2 4706
13 2353
181 181
1

Prime factors of 4706 are 2, 13,181. Prime factorization of 4706 in exponential form is:

4706 = 21×131×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4706.

LCM(4704,4706) = 25×31×72×131×1811
LCM(4704,4706) = 11068512

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 4706

List of positive integer factors of 4706 that divides 4706 without a remainder.

1, 2, 13, 26, 181, 362, 2353, 4706

Least Common Multiple of 4704 and 4706 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 4706, than apply into the LCM equation.

GCF(4704,4706) = 2
LCM(4704,4706) = ( 4704 × 4706) / 2
LCM(4704,4706) = 22137024 / 2
LCM(4704,4706) = 11068512

Properties of LCM 4704 and 4706

(i) The LCM of 4706 and 4704 is associative

LCM of 4704 and 4706 = LCM of 4706 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4706

Frequently Asked Questions on LCM of 4704 and 4706

1. What is the LCM of 4704 and 4706?

Answer: LCM of 4704 and 4706 is 11068512.

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 4706?

Answer: Factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706. There are 8 integers that are factors of 4706. The greatest factor of 4706 is 4706.

4. How to Find the LCM of 4704 and 4706?

Answer:

Least Common Multiple of 4704 and 4706 = 11068512

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 4706

4706 = 2 x 13 x 181

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

LCM = 11068512 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 181

Step 4: Therefore, the least common multiple of 4704 and 4706 is 11068512.