Least Common Multiple of 3677 and 3681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3677 and 3681 the smallest integer that is 13535037 that is divisible by both numbers.

Least Common Multiple (LCM) of 3677 and 3681 is 13535037.

LCM(3677,3681) = 13535037

LCM of 3677 and 3681

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

LCM of:
and

Least Common Multiple of 3677 and 3681

LCM of 3677 and 3681 is 13535037

Least common multiple can be found by multiplying the highest exponent prime factors of 3677 and 3681. First we will calculate the prime factors of 3677 and 3681.

Prime Factorization of 3677


3677 3677
1

Prime factors of 3677 are 3677. Prime factorization of 3677 in exponential form is:

3677 = 36771

Prime Factorization of 3681


3 3681
3 1227
409 409
1

Prime factors of 3681 are 3,409. Prime factorization of 3681 in exponential form is:

3681 = 32×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 3677 and 3681.

LCM(3677,3681) = 32×4091×36771
LCM(3677,3681) = 13535037

Factors of 3677

List of positive integer factors of 3677 that divides 3677 without a remainder.

1, 3677

Factors of 3681

List of positive integer factors of 3681 that divides 3681 without a remainder.

1, 3, 9, 409, 1227, 3681

Least Common Multiple of 3677 and 3681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3677 and 3681, than apply into the LCM equation.

GCF(3677,3681) = 1
LCM(3677,3681) = ( 3677 × 3681) / 1
LCM(3677,3681) = 13535037 / 1
LCM(3677,3681) = 13535037

Properties of LCM 3677 and 3681

(i) The LCM of 3681 and 3677 is associative

LCM of 3677 and 3681 = LCM of 3681 and 3677

Related Least Common Multiples of 3677

Related Least Common Multiples of 3681

Frequently Asked Questions on LCM of 3677 and 3681

1. What is the LCM of 3677 and 3681?

Answer: LCM of 3677 and 3681 is 13535037.

2. What are the Factors of 3677?

Answer: Factors of 3677 are 1, 3677. There are 2 integers that are factors of 3677. The greatest factor of 3677 is 3677.

3. What are the Factors of 3681?

Answer: Factors of 3681 are 1, 3, 9, 409, 1227, 3681. There are 6 integers that are factors of 3681. The greatest factor of 3681 is 3681.

4. How to Find the LCM of 3677 and 3681?

Answer:

Least Common Multiple of 3677 and 3681 = 13535037

Step 1: Find the prime factorization of 3677

3677 = 3677

Step 2: Find the prime factorization of 3681

3681 = 3 x 3 x 409

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

LCM = 13535037 = 3 x 3 x 409 x 3677

Step 4: Therefore, the least common multiple of 3677 and 3681 is 13535037.