Least Common Multiple of 3667 and 3671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3667 and 3671 the smallest integer that is 13461557 that is divisible by both numbers.

Least Common Multiple (LCM) of 3667 and 3671 is 13461557.

LCM(3667,3671) = 13461557

LCM of 3667 and 3671

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

LCM of:
and

Least Common Multiple of 3667 and 3671

LCM of 3667 and 3671 is 13461557

Least common multiple can be found by multiplying the highest exponent prime factors of 3667 and 3671. First we will calculate the prime factors of 3667 and 3671.

Prime Factorization of 3667


19 3667
193 193
1

Prime factors of 3667 are 19,193. Prime factorization of 3667 in exponential form is:

3667 = 191×1931

Prime Factorization of 3671


3671 3671
1

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

3671 = 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 3667 and 3671.

LCM(3667,3671) = 191×1931×36711
LCM(3667,3671) = 13461557

Factors of 3667

List of positive integer factors of 3667 that divides 3667 without a remainder.

1, 19, 193, 3667

Factors of 3671

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

1, 3671

Least Common Multiple of 3667 and 3671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3667 and 3671, than apply into the LCM equation.

GCF(3667,3671) = 1
LCM(3667,3671) = ( 3667 × 3671) / 1
LCM(3667,3671) = 13461557 / 1
LCM(3667,3671) = 13461557

Properties of LCM 3667 and 3671

(i) The LCM of 3671 and 3667 is associative

LCM of 3667 and 3671 = LCM of 3671 and 3667

Related Least Common Multiples of 3667

Related Least Common Multiples of 3671

Frequently Asked Questions on LCM of 3667 and 3671

1. What is the LCM of 3667 and 3671?

Answer: LCM of 3667 and 3671 is 13461557.

2. What are the Factors of 3667?

Answer: Factors of 3667 are 1, 19, 193, 3667. There are 4 integers that are factors of 3667. The greatest factor of 3667 is 3667.

3. 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.

4. How to Find the LCM of 3667 and 3671?

Answer:

Least Common Multiple of 3667 and 3671 = 13461557

Step 1: Find the prime factorization of 3667

3667 = 19 x 193

Step 2: Find the prime factorization of 3671

3671 = 3671

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

LCM = 13461557 = 19 x 193 x 3671

Step 4: Therefore, the least common multiple of 3667 and 3671 is 13461557.