Least Common Multiple of 3692 and 3700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3692 and 3700 the smallest integer that is 3415100 that is divisible by both numbers.

Least Common Multiple (LCM) of 3692 and 3700 is 3415100.

LCM(3692,3700) = 3415100

LCM of 3692 and 3700

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

LCM of:
and

Least Common Multiple of 3692 and 3700

LCM of 3692 and 3700 is 3415100

Least common multiple can be found by multiplying the highest exponent prime factors of 3692 and 3700. First we will calculate the prime factors of 3692 and 3700.

Prime Factorization of 3692


2 3692
2 1846
13 923
71 71
1

Prime factors of 3692 are 2, 13,71. Prime factorization of 3692 in exponential form is:

3692 = 22×131×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3692 and 3700.

LCM(3692,3700) = 22×52×131×371×711
LCM(3692,3700) = 3415100

Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692

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

Least Common Multiple of 3692 and 3700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3692 and 3700, than apply into the LCM equation.

GCF(3692,3700) = 4
LCM(3692,3700) = ( 3692 × 3700) / 4
LCM(3692,3700) = 13660400 / 4
LCM(3692,3700) = 3415100

Properties of LCM 3692 and 3700

(i) The LCM of 3700 and 3692 is associative

LCM of 3692 and 3700 = LCM of 3700 and 3692

Related Least Common Multiples of 3692

Related Least Common Multiples of 3700

Frequently Asked Questions on LCM of 3692 and 3700

1. What is the LCM of 3692 and 3700?

Answer: LCM of 3692 and 3700 is 3415100.

2. What are the Factors of 3692?

Answer: Factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692. There are 12 integers that are factors of 3692. The greatest factor of 3692 is 3692.

3. 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.

4. How to Find the LCM of 3692 and 3700?

Answer:

Least Common Multiple of 3692 and 3700 = 3415100

Step 1: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 3700

3700 = 2 x 2 x 5 x 5 x 37

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

LCM = 3415100 = 2 x 2 x 5 x 5 x 13 x 37 x 71

Step 4: Therefore, the least common multiple of 3692 and 3700 is 3415100.