Least Common Multiple of 3671 and 3677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3671 and 3677 the smallest integer that is 13498267 that is divisible by both numbers.

Least Common Multiple (LCM) of 3671 and 3677 is 13498267.

LCM(3671,3677) = 13498267

LCM of 3671 and 3677

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

LCM of:
and

Least Common Multiple of 3671 and 3677

LCM of 3671 and 3677 is 13498267

Least common multiple can be found by multiplying the highest exponent prime factors of 3671 and 3677. First we will calculate the prime factors of 3671 and 3677.

Prime Factorization of 3671


3671 3671
1

Prime factors of 3671 are 3671. Prime factorization of 3671 in exponential form is:

3671 = 36711

Prime Factorization of 3677


3677 3677
1

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

3677 = 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 3671 and 3677.

LCM(3671,3677) = 36711×36771
LCM(3671,3677) = 13498267

Factors of 3671

List of positive integer factors of 3671 that divides 3671 without a remainder.

1, 3671

Factors of 3677

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

1, 3677

Least Common Multiple of 3671 and 3677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3671 and 3677, than apply into the LCM equation.

GCF(3671,3677) = 1
LCM(3671,3677) = ( 3671 × 3677) / 1
LCM(3671,3677) = 13498267 / 1
LCM(3671,3677) = 13498267

Properties of LCM 3671 and 3677

(i) The LCM of 3677 and 3671 is associative

LCM of 3671 and 3677 = LCM of 3677 and 3671

Related Least Common Multiples of 3671

Related Least Common Multiples of 3677

Frequently Asked Questions on LCM of 3671 and 3677

1. What is the LCM of 3671 and 3677?

Answer: LCM of 3671 and 3677 is 13498267.

2. What are the Factors of 3671?

Answer: Factors of 3671 are 1, 3671. There are 2 integers that are factors of 3671. The greatest factor of 3671 is 3671.

3. 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.

4. How to Find the LCM of 3671 and 3677?

Answer:

Least Common Multiple of 3671 and 3677 = 13498267

Step 1: Find the prime factorization of 3671

3671 = 3671

Step 2: Find the prime factorization of 3677

3677 = 3677

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

LCM = 13498267 = 3671 x 3677

Step 4: Therefore, the least common multiple of 3671 and 3677 is 13498267.