Least Common Multiple of 3685 and 3692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3685 and 3692 the smallest integer that is 13605020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3685 and 3692 is 13605020.

LCM(3685,3692) = 13605020

LCM of 3685 and 3692

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

LCM of:
and

Least Common Multiple of 3685 and 3692

LCM of 3685 and 3692 is 13605020

Least common multiple can be found by multiplying the highest exponent prime factors of 3685 and 3692. First we will calculate the prime factors of 3685 and 3692.

Prime Factorization of 3685


5 3685
11 737
67 67
1

Prime factors of 3685 are 5, 11,67. Prime factorization of 3685 in exponential form is:

3685 = 51×111×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3685 and 3692.

LCM(3685,3692) = 22×51×111×131×671×711
LCM(3685,3692) = 13605020

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1, 5, 11, 55, 67, 335, 737, 3685

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

Least Common Multiple of 3685 and 3692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3685 and 3692, than apply into the LCM equation.

GCF(3685,3692) = 1
LCM(3685,3692) = ( 3685 × 3692) / 1
LCM(3685,3692) = 13605020 / 1
LCM(3685,3692) = 13605020

Properties of LCM 3685 and 3692

(i) The LCM of 3692 and 3685 is associative

LCM of 3685 and 3692 = LCM of 3692 and 3685

Related Least Common Multiples of 3685

Related Least Common Multiples of 3692

Frequently Asked Questions on LCM of 3685 and 3692

1. What is the LCM of 3685 and 3692?

Answer: LCM of 3685 and 3692 is 13605020.

2. What are the Factors of 3685?

Answer: Factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685. There are 8 integers that are factors of 3685. The greatest factor of 3685 is 3685.

3. 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.

4. How to Find the LCM of 3685 and 3692?

Answer:

Least Common Multiple of 3685 and 3692 = 13605020

Step 1: Find the prime factorization of 3685

3685 = 5 x 11 x 67

Step 2: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

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

LCM = 13605020 = 2 x 2 x 5 x 11 x 13 x 67 x 71

Step 4: Therefore, the least common multiple of 3685 and 3692 is 13605020.