Least Common Multiple of 3671 and 3679

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 3679 the smallest integer that is 13505609 that is divisible by both numbers.

Least Common Multiple (LCM) of 3671 and 3679 is 13505609.

LCM(3671,3679) = 13505609

LCM of 3671 and 3679

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

LCM of:
and

Least Common Multiple of 3671 and 3679

LCM of 3671 and 3679 is 13505609

Least common multiple can be found by multiplying the highest exponent prime factors of 3671 and 3679. First we will calculate the prime factors of 3671 and 3679.

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 3679


13 3679
283 283
1

Prime factors of 3679 are 13,283. Prime factorization of 3679 in exponential form is:

3679 = 131×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 3671 and 3679.

LCM(3671,3679) = 131×2831×36711
LCM(3671,3679) = 13505609

Factors of 3671

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

1, 3671

Factors of 3679

List of positive integer factors of 3679 that divides 3679 without a remainder.

1, 13, 283, 3679

Least Common Multiple of 3671 and 3679 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 3679, than apply into the LCM equation.

GCF(3671,3679) = 1
LCM(3671,3679) = ( 3671 × 3679) / 1
LCM(3671,3679) = 13505609 / 1
LCM(3671,3679) = 13505609

Properties of LCM 3671 and 3679

(i) The LCM of 3679 and 3671 is associative

LCM of 3671 and 3679 = LCM of 3679 and 3671

Related Least Common Multiples of 3671

Related Least Common Multiples of 3679

Frequently Asked Questions on LCM of 3671 and 3679

1. What is the LCM of 3671 and 3679?

Answer: LCM of 3671 and 3679 is 13505609.

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 3679?

Answer: Factors of 3679 are 1, 13, 283, 3679. There are 4 integers that are factors of 3679. The greatest factor of 3679 is 3679.

4. How to Find the LCM of 3671 and 3679?

Answer:

Least Common Multiple of 3671 and 3679 = 13505609

Step 1: Find the prime factorization of 3671

3671 = 3671

Step 2: Find the prime factorization of 3679

3679 = 13 x 283

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

LCM = 13505609 = 13 x 283 x 3671

Step 4: Therefore, the least common multiple of 3671 and 3679 is 13505609.