Least Common Multiple of 3677 and 3684

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 3684 the smallest integer that is 13546068 that is divisible by both numbers.

Least Common Multiple (LCM) of 3677 and 3684 is 13546068.

LCM(3677,3684) = 13546068

LCM of 3677 and 3684

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

LCM of:
and

Least Common Multiple of 3677 and 3684

LCM of 3677 and 3684 is 13546068

Least common multiple can be found by multiplying the highest exponent prime factors of 3677 and 3684. First we will calculate the prime factors of 3677 and 3684.

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 3684


2 3684
2 1842
3 921
307 307
1

Prime factors of 3684 are 2, 3,307. Prime factorization of 3684 in exponential form is:

3684 = 22×31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3677 and 3684.

LCM(3677,3684) = 22×31×3071×36771
LCM(3677,3684) = 13546068

Factors of 3677

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

1, 3677

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684

Least Common Multiple of 3677 and 3684 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 3684, than apply into the LCM equation.

GCF(3677,3684) = 1
LCM(3677,3684) = ( 3677 × 3684) / 1
LCM(3677,3684) = 13546068 / 1
LCM(3677,3684) = 13546068

Properties of LCM 3677 and 3684

(i) The LCM of 3684 and 3677 is associative

LCM of 3677 and 3684 = LCM of 3684 and 3677

Related Least Common Multiples of 3677

Related Least Common Multiples of 3684

Frequently Asked Questions on LCM of 3677 and 3684

1. What is the LCM of 3677 and 3684?

Answer: LCM of 3677 and 3684 is 13546068.

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 3684?

Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.

4. How to Find the LCM of 3677 and 3684?

Answer:

Least Common Multiple of 3677 and 3684 = 13546068

Step 1: Find the prime factorization of 3677

3677 = 3677

Step 2: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

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

LCM = 13546068 = 2 x 2 x 3 x 307 x 3677

Step 4: Therefore, the least common multiple of 3677 and 3684 is 13546068.