Least Common Multiple of 3700 and 3704

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 3704 the smallest integer that is 3426200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3700 and 3704 is 3426200.

LCM(3700,3704) = 3426200

LCM of 3700 and 3704

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

LCM of:
and

Least Common Multiple of 3700 and 3704

LCM of 3700 and 3704 is 3426200

Least common multiple can be found by multiplying the highest exponent prime factors of 3700 and 3704. First we will calculate the prime factors of 3700 and 3704.

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 3704


2 3704
2 1852
2 926
463 463
1

Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:

3704 = 23×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 3700 and 3704.

LCM(3700,3704) = 23×52×371×4631
LCM(3700,3704) = 3426200

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 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1, 2, 4, 8, 463, 926, 1852, 3704

Least Common Multiple of 3700 and 3704 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 3704, than apply into the LCM equation.

GCF(3700,3704) = 4
LCM(3700,3704) = ( 3700 × 3704) / 4
LCM(3700,3704) = 13704800 / 4
LCM(3700,3704) = 3426200

Properties of LCM 3700 and 3704

(i) The LCM of 3704 and 3700 is associative

LCM of 3700 and 3704 = LCM of 3704 and 3700

Related Least Common Multiples of 3700

Related Least Common Multiples of 3704

Frequently Asked Questions on LCM of 3700 and 3704

1. What is the LCM of 3700 and 3704?

Answer: LCM of 3700 and 3704 is 3426200.

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 3704?

Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.

4. How to Find the LCM of 3700 and 3704?

Answer:

Least Common Multiple of 3700 and 3704 = 3426200

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 3704

3704 = 2 x 2 x 2 x 463

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

LCM = 3426200 = 2 x 2 x 2 x 5 x 5 x 37 x 463

Step 4: Therefore, the least common multiple of 3700 and 3704 is 3426200.