Least Common Multiple of 3687 and 3695

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 3695 the smallest integer that is 13623465 that is divisible by both numbers.

Least Common Multiple (LCM) of 3687 and 3695 is 13623465.

LCM(3687,3695) = 13623465

LCM of 3687 and 3695

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

LCM of:
and

Least Common Multiple of 3687 and 3695

LCM of 3687 and 3695 is 13623465

Least common multiple can be found by multiplying the highest exponent prime factors of 3687 and 3695. First we will calculate the prime factors of 3687 and 3695.

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 3695


5 3695
739 739
1

Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:

3695 = 51×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 3687 and 3695.

LCM(3687,3695) = 31×51×7391×12291
LCM(3687,3695) = 13623465

Factors of 3687

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

1, 3, 1229, 3687

Factors of 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1, 5, 739, 3695

Least Common Multiple of 3687 and 3695 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 3695, than apply into the LCM equation.

GCF(3687,3695) = 1
LCM(3687,3695) = ( 3687 × 3695) / 1
LCM(3687,3695) = 13623465 / 1
LCM(3687,3695) = 13623465

Properties of LCM 3687 and 3695

(i) The LCM of 3695 and 3687 is associative

LCM of 3687 and 3695 = LCM of 3695 and 3687

Related Least Common Multiples of 3687

Related Least Common Multiples of 3695

Frequently Asked Questions on LCM of 3687 and 3695

1. What is the LCM of 3687 and 3695?

Answer: LCM of 3687 and 3695 is 13623465.

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 3695?

Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.

4. How to Find the LCM of 3687 and 3695?

Answer:

Least Common Multiple of 3687 and 3695 = 13623465

Step 1: Find the prime factorization of 3687

3687 = 3 x 1229

Step 2: Find the prime factorization of 3695

3695 = 5 x 739

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

LCM = 13623465 = 3 x 5 x 739 x 1229

Step 4: Therefore, the least common multiple of 3687 and 3695 is 13623465.