Least Common Multiple of 3706 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 3706 and 3708 the smallest integer that is 6870924 that is divisible by both numbers.

Least Common Multiple (LCM) of 3706 and 3708 is 6870924.

LCM(3706,3708) = 6870924

LCM of 3706 and 3708

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

LCM of:
and

Least Common Multiple of 3706 and 3708

LCM of 3706 and 3708 is 6870924

Least common multiple can be found by multiplying the highest exponent prime factors of 3706 and 3708. First we will calculate the prime factors of 3706 and 3708.

Prime Factorization of 3706


2 3706
17 1853
109 109
1

Prime factors of 3706 are 2, 17,109. Prime factorization of 3706 in exponential form is:

3706 = 21×171×1091

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 3706 and 3708.

LCM(3706,3708) = 22×32×171×1031×1091
LCM(3706,3708) = 6870924

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1, 2, 17, 34, 109, 218, 1853, 3706

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 3706 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 3706 and 3708, than apply into the LCM equation.

GCF(3706,3708) = 2
LCM(3706,3708) = ( 3706 × 3708) / 2
LCM(3706,3708) = 13741848 / 2
LCM(3706,3708) = 6870924

Properties of LCM 3706 and 3708

(i) The LCM of 3708 and 3706 is associative

LCM of 3706 and 3708 = LCM of 3708 and 3706

Related Least Common Multiples of 3706

Related Least Common Multiples of 3708

Frequently Asked Questions on LCM of 3706 and 3708

1. What is the LCM of 3706 and 3708?

Answer: LCM of 3706 and 3708 is 6870924.

2. What are the Factors of 3706?

Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.

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 3706 and 3708?

Answer:

Least Common Multiple of 3706 and 3708 = 6870924

Step 1: Find the prime factorization of 3706

3706 = 2 x 17 x 109

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 = 6870924 = 2 x 2 x 3 x 3 x 17 x 103 x 109

Step 4: Therefore, the least common multiple of 3706 and 3708 is 6870924.