Least Common Multiple of 3692 and 3693

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 3693 the smallest integer that is 13634556 that is divisible by both numbers.

Least Common Multiple (LCM) of 3692 and 3693 is 13634556.

LCM(3692,3693) = 13634556

LCM of 3692 and 3693

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

LCM of:
and

Least Common Multiple of 3692 and 3693

LCM of 3692 and 3693 is 13634556

Least common multiple can be found by multiplying the highest exponent prime factors of 3692 and 3693. First we will calculate the prime factors of 3692 and 3693.

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 3693


3 3693
1231 1231
1

Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:

3693 = 31×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 3692 and 3693.

LCM(3692,3693) = 22×31×131×711×12311
LCM(3692,3693) = 13634556

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 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1, 3, 1231, 3693

Least Common Multiple of 3692 and 3693 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 3693, than apply into the LCM equation.

GCF(3692,3693) = 1
LCM(3692,3693) = ( 3692 × 3693) / 1
LCM(3692,3693) = 13634556 / 1
LCM(3692,3693) = 13634556

Properties of LCM 3692 and 3693

(i) The LCM of 3693 and 3692 is associative

LCM of 3692 and 3693 = LCM of 3693 and 3692

Related Least Common Multiples of 3692

Related Least Common Multiples of 3693

Frequently Asked Questions on LCM of 3692 and 3693

1. What is the LCM of 3692 and 3693?

Answer: LCM of 3692 and 3693 is 13634556.

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 3693?

Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.

4. How to Find the LCM of 3692 and 3693?

Answer:

Least Common Multiple of 3692 and 3693 = 13634556

Step 1: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 3693

3693 = 3 x 1231

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

LCM = 13634556 = 2 x 2 x 3 x 13 x 71 x 1231

Step 4: Therefore, the least common multiple of 3692 and 3693 is 13634556.