Least Common Multiple of 3700 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 3700 and 3708 the smallest integer that is 3429900 that is divisible by both numbers.

Least Common Multiple (LCM) of 3700 and 3708 is 3429900.

LCM(3700,3708) = 3429900

LCM of 3700 and 3708

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

LCM of:
and

Least Common Multiple of 3700 and 3708

LCM of 3700 and 3708 is 3429900

Least common multiple can be found by multiplying the highest exponent prime factors of 3700 and 3708. First we will calculate the prime factors of 3700 and 3708.

Prime Factorization of 3700


2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 3700 are 2, 5,37. Prime factorization of 3700 in exponential form is:

3700 = 22×52×371

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 3700 and 3708.

LCM(3700,3708) = 22×32×52×371×1031
LCM(3700,3708) = 3429900

Factors of 3700

List of positive integer factors of 3700 that divides 3700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700

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 3700 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 3700 and 3708, than apply into the LCM equation.

GCF(3700,3708) = 4
LCM(3700,3708) = ( 3700 × 3708) / 4
LCM(3700,3708) = 13719600 / 4
LCM(3700,3708) = 3429900

Properties of LCM 3700 and 3708

(i) The LCM of 3708 and 3700 is associative

LCM of 3700 and 3708 = LCM of 3708 and 3700

Related Least Common Multiples of 3700

Related Least Common Multiples of 3708

Frequently Asked Questions on LCM of 3700 and 3708

1. What is the LCM of 3700 and 3708?

Answer: LCM of 3700 and 3708 is 3429900.

2. What are the Factors of 3700?

Answer: Factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700. There are 18 integers that are factors of 3700. The greatest factor of 3700 is 3700.

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 3700 and 3708?

Answer:

Least Common Multiple of 3700 and 3708 = 3429900

Step 1: Find the prime factorization of 3700

3700 = 2 x 2 x 5 x 5 x 37

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 = 3429900 = 2 x 2 x 3 x 3 x 5 x 5 x 37 x 103

Step 4: Therefore, the least common multiple of 3700 and 3708 is 3429900.