Least Common Multiple of 3703 and 3708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3703 and 3708 the smallest integer that is 13730724 that is divisible by both numbers.

Least Common Multiple (LCM) of 3703 and 3708 is 13730724.

LCM(3703,3708) = 13730724

LCM of 3703 and 3708

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

LCM of:
and

Least Common Multiple of 3703 and 3708

LCM of 3703 and 3708 is 13730724

Least common multiple can be found by multiplying the highest exponent prime factors of 3703 and 3708. First we will calculate the prime factors of 3703 and 3708.

Prime Factorization of 3703


7 3703
23 529
23 23
1

Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:

3703 = 71×232

Prime Factorization of 3708


2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 3708 are 2, 3,103. Prime factorization of 3708 in exponential form is:

3708 = 22×32×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3703 and 3708.

LCM(3703,3708) = 22×32×71×232×1031
LCM(3703,3708) = 13730724

Factors of 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1, 7, 23, 161, 529, 3703

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708

Least Common Multiple of 3703 and 3708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3703 and 3708, than apply into the LCM equation.

GCF(3703,3708) = 1
LCM(3703,3708) = ( 3703 × 3708) / 1
LCM(3703,3708) = 13730724 / 1
LCM(3703,3708) = 13730724

Properties of LCM 3703 and 3708

(i) The LCM of 3708 and 3703 is associative

LCM of 3703 and 3708 = LCM of 3708 and 3703

Related Least Common Multiples of 3703

Related Least Common Multiples of 3708

Frequently Asked Questions on LCM of 3703 and 3708

1. What is the LCM of 3703 and 3708?

Answer: LCM of 3703 and 3708 is 13730724.

2. What are the Factors of 3703?

Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.

3. What are the Factors of 3708?

Answer: Factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708. There are 18 integers that are factors of 3708. The greatest factor of 3708 is 3708.

4. How to Find the LCM of 3703 and 3708?

Answer:

Least Common Multiple of 3703 and 3708 = 13730724

Step 1: Find the prime factorization of 3703

3703 = 7 x 23 x 23

Step 2: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

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

LCM = 13730724 = 2 x 2 x 3 x 3 x 7 x 23 x 23 x 103

Step 4: Therefore, the least common multiple of 3703 and 3708 is 13730724.