Least Common Multiple of 4703 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 4703 and 4708 the smallest integer that is 22141724 that is divisible by both numbers.

Least Common Multiple (LCM) of 4703 and 4708 is 22141724.

LCM(4703,4708) = 22141724

LCM of 4703 and 4708

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

LCM of:
and

Least Common Multiple of 4703 and 4708

LCM of 4703 and 4708 is 22141724

Least common multiple can be found by multiplying the highest exponent prime factors of 4703 and 4708. First we will calculate the prime factors of 4703 and 4708.

Prime Factorization of 4703


4703 4703
1

Prime factors of 4703 are 4703. Prime factorization of 4703 in exponential form is:

4703 = 47031

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 4703 and 4708.

LCM(4703,4708) = 22×111×1071×47031
LCM(4703,4708) = 22141724

Factors of 4703

List of positive integer factors of 4703 that divides 4703 without a remainder.

1, 4703

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 4703 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 4703 and 4708, than apply into the LCM equation.

GCF(4703,4708) = 1
LCM(4703,4708) = ( 4703 × 4708) / 1
LCM(4703,4708) = 22141724 / 1
LCM(4703,4708) = 22141724

Properties of LCM 4703 and 4708

(i) The LCM of 4708 and 4703 is associative

LCM of 4703 and 4708 = LCM of 4708 and 4703

Related Least Common Multiples of 4703

Related Least Common Multiples of 4708

Frequently Asked Questions on LCM of 4703 and 4708

1. What is the LCM of 4703 and 4708?

Answer: LCM of 4703 and 4708 is 22141724.

2. What are the Factors of 4703?

Answer: Factors of 4703 are 1, 4703. There are 2 integers that are factors of 4703. The greatest factor of 4703 is 4703.

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 4703 and 4708?

Answer:

Least Common Multiple of 4703 and 4708 = 22141724

Step 1: Find the prime factorization of 4703

4703 = 4703

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 = 22141724 = 2 x 2 x 11 x 107 x 4703

Step 4: Therefore, the least common multiple of 4703 and 4708 is 22141724.