Least Common Multiple of 3677 and 3683

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 3683 the smallest integer that is 13542391 that is divisible by both numbers.

Least Common Multiple (LCM) of 3677 and 3683 is 13542391.

LCM(3677,3683) = 13542391

LCM of 3677 and 3683

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

LCM of:
and

Least Common Multiple of 3677 and 3683

LCM of 3677 and 3683 is 13542391

Least common multiple can be found by multiplying the highest exponent prime factors of 3677 and 3683. First we will calculate the prime factors of 3677 and 3683.

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 3683


29 3683
127 127
1

Prime factors of 3683 are 29,127. Prime factorization of 3683 in exponential form is:

3683 = 291×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3677 and 3683.

LCM(3677,3683) = 291×1271×36771
LCM(3677,3683) = 13542391

Factors of 3677

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

1, 3677

Factors of 3683

List of positive integer factors of 3683 that divides 3683 without a remainder.

1, 29, 127, 3683

Least Common Multiple of 3677 and 3683 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 3683, than apply into the LCM equation.

GCF(3677,3683) = 1
LCM(3677,3683) = ( 3677 × 3683) / 1
LCM(3677,3683) = 13542391 / 1
LCM(3677,3683) = 13542391

Properties of LCM 3677 and 3683

(i) The LCM of 3683 and 3677 is associative

LCM of 3677 and 3683 = LCM of 3683 and 3677

Related Least Common Multiples of 3677

Related Least Common Multiples of 3683

Frequently Asked Questions on LCM of 3677 and 3683

1. What is the LCM of 3677 and 3683?

Answer: LCM of 3677 and 3683 is 13542391.

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 3683?

Answer: Factors of 3683 are 1, 29, 127, 3683. There are 4 integers that are factors of 3683. The greatest factor of 3683 is 3683.

4. How to Find the LCM of 3677 and 3683?

Answer:

Least Common Multiple of 3677 and 3683 = 13542391

Step 1: Find the prime factorization of 3677

3677 = 3677

Step 2: Find the prime factorization of 3683

3683 = 29 x 127

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

LCM = 13542391 = 29 x 127 x 3677

Step 4: Therefore, the least common multiple of 3677 and 3683 is 13542391.