Least Common Multiple of 3708 and 3713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3708 and 3713 the smallest integer that is 13767804 that is divisible by both numbers.

Least Common Multiple (LCM) of 3708 and 3713 is 13767804.

LCM(3708,3713) = 13767804

LCM of 3708 and 3713

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

LCM of:
and

Least Common Multiple of 3708 and 3713

LCM of 3708 and 3713 is 13767804

Least common multiple can be found by multiplying the highest exponent prime factors of 3708 and 3713. First we will calculate the prime factors of 3708 and 3713.

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

Prime Factorization of 3713


47 3713
79 79
1

Prime factors of 3713 are 47,79. Prime factorization of 3713 in exponential form is:

3713 = 471×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3708 and 3713.

LCM(3708,3713) = 22×32×471×791×1031
LCM(3708,3713) = 13767804

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

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1, 47, 79, 3713

Least Common Multiple of 3708 and 3713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3708 and 3713, than apply into the LCM equation.

GCF(3708,3713) = 1
LCM(3708,3713) = ( 3708 × 3713) / 1
LCM(3708,3713) = 13767804 / 1
LCM(3708,3713) = 13767804

Properties of LCM 3708 and 3713

(i) The LCM of 3713 and 3708 is associative

LCM of 3708 and 3713 = LCM of 3713 and 3708

Related Least Common Multiples of 3708

Related Least Common Multiples of 3713

Frequently Asked Questions on LCM of 3708 and 3713

1. What is the LCM of 3708 and 3713?

Answer: LCM of 3708 and 3713 is 13767804.

2. 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.

3. What are the Factors of 3713?

Answer: Factors of 3713 are 1, 47, 79, 3713. There are 4 integers that are factors of 3713. The greatest factor of 3713 is 3713.

4. How to Find the LCM of 3708 and 3713?

Answer:

Least Common Multiple of 3708 and 3713 = 13767804

Step 1: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

Step 2: Find the prime factorization of 3713

3713 = 47 x 79

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

LCM = 13767804 = 2 x 2 x 3 x 3 x 47 x 79 x 103

Step 4: Therefore, the least common multiple of 3708 and 3713 is 13767804.