Least Common Multiple of 4700 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 4700 and 4708 the smallest integer that is 5531900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4700 and 4708 is 5531900.

LCM(4700,4708) = 5531900

LCM of 4700 and 4708

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

LCM of:
and

Least Common Multiple of 4700 and 4708

LCM of 4700 and 4708 is 5531900

Least common multiple can be found by multiplying the highest exponent prime factors of 4700 and 4708. First we will calculate the prime factors of 4700 and 4708.

Prime Factorization of 4700


2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 4700 are 2, 5,47. Prime factorization of 4700 in exponential form is:

4700 = 22×52×471

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 4700 and 4708.

LCM(4700,4708) = 22×52×111×471×1071
LCM(4700,4708) = 5531900

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700

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 4700 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 4700 and 4708, than apply into the LCM equation.

GCF(4700,4708) = 4
LCM(4700,4708) = ( 4700 × 4708) / 4
LCM(4700,4708) = 22127600 / 4
LCM(4700,4708) = 5531900

Properties of LCM 4700 and 4708

(i) The LCM of 4708 and 4700 is associative

LCM of 4700 and 4708 = LCM of 4708 and 4700

Related Least Common Multiples of 4700

Related Least Common Multiples of 4708

Frequently Asked Questions on LCM of 4700 and 4708

1. What is the LCM of 4700 and 4708?

Answer: LCM of 4700 and 4708 is 5531900.

2. What are the Factors of 4700?

Answer: Factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700. There are 18 integers that are factors of 4700. The greatest factor of 4700 is 4700.

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 4700 and 4708?

Answer:

Least Common Multiple of 4700 and 4708 = 5531900

Step 1: Find the prime factorization of 4700

4700 = 2 x 2 x 5 x 5 x 47

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 = 5531900 = 2 x 2 x 5 x 5 x 11 x 47 x 107

Step 4: Therefore, the least common multiple of 4700 and 4708 is 5531900.