Least Common Multiple of 4706 and 4708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4706 and 4708 the smallest integer that is 11077924 that is divisible by both numbers.

Least Common Multiple (LCM) of 4706 and 4708 is 11077924.

LCM(4706,4708) = 11077924

LCM of 4706 and 4708

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

LCM of:
and

Least Common Multiple of 4706 and 4708

LCM of 4706 and 4708 is 11077924

Least common multiple can be found by multiplying the highest exponent prime factors of 4706 and 4708. First we will calculate the prime factors of 4706 and 4708.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4706 and 4708.

LCM(4706,4708) = 22×111×131×1071×1811
LCM(4706,4708) = 11077924

Factors of 4706

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

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

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

Least Common Multiple of 4706 and 4708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4706 and 4708, than apply into the LCM equation.

GCF(4706,4708) = 2
LCM(4706,4708) = ( 4706 × 4708) / 2
LCM(4706,4708) = 22155848 / 2
LCM(4706,4708) = 11077924

Properties of LCM 4706 and 4708

(i) The LCM of 4708 and 4706 is associative

LCM of 4706 and 4708 = LCM of 4708 and 4706

Related Least Common Multiples of 4706

Related Least Common Multiples of 4708

Frequently Asked Questions on LCM of 4706 and 4708

1. What is the LCM of 4706 and 4708?

Answer: LCM of 4706 and 4708 is 11077924.

2. 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.

3. 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.

4. How to Find the LCM of 4706 and 4708?

Answer:

Least Common Multiple of 4706 and 4708 = 11077924

Step 1: Find the prime factorization of 4706

4706 = 2 x 13 x 181

Step 2: Find the prime factorization of 4708

4708 = 2 x 2 x 11 x 107

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

LCM = 11077924 = 2 x 2 x 11 x 13 x 107 x 181

Step 4: Therefore, the least common multiple of 4706 and 4708 is 11077924.