Least Common Multiple of 3687 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 3687 and 3693 the smallest integer that is 4538697 that is divisible by both numbers.

Least Common Multiple (LCM) of 3687 and 3693 is 4538697.

LCM(3687,3693) = 4538697

LCM of 3687 and 3693

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

LCM of:
and

Least Common Multiple of 3687 and 3693

LCM of 3687 and 3693 is 4538697

Least common multiple can be found by multiplying the highest exponent prime factors of 3687 and 3693. First we will calculate the prime factors of 3687 and 3693.

Prime Factorization of 3687


3 3687
1229 1229
1

Prime factors of 3687 are 3,1229. Prime factorization of 3687 in exponential form is:

3687 = 31×12291

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 3687 and 3693.

LCM(3687,3693) = 31×12291×12311
LCM(3687,3693) = 4538697

Factors of 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1, 3, 1229, 3687

Factors of 3693

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

1, 3, 1231, 3693

Least Common Multiple of 3687 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 3687 and 3693, than apply into the LCM equation.

GCF(3687,3693) = 3
LCM(3687,3693) = ( 3687 × 3693) / 3
LCM(3687,3693) = 13616091 / 3
LCM(3687,3693) = 4538697

Properties of LCM 3687 and 3693

(i) The LCM of 3693 and 3687 is associative

LCM of 3687 and 3693 = LCM of 3693 and 3687

Related Least Common Multiples of 3687

Related Least Common Multiples of 3693

Frequently Asked Questions on LCM of 3687 and 3693

1. What is the LCM of 3687 and 3693?

Answer: LCM of 3687 and 3693 is 4538697.

2. What are the Factors of 3687?

Answer: Factors of 3687 are 1, 3, 1229, 3687. There are 4 integers that are factors of 3687. The greatest factor of 3687 is 3687.

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 3687 and 3693?

Answer:

Least Common Multiple of 3687 and 3693 = 4538697

Step 1: Find the prime factorization of 3687

3687 = 3 x 1229

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 = 4538697 = 3 x 1229 x 1231

Step 4: Therefore, the least common multiple of 3687 and 3693 is 4538697.