Least Common Multiple of 3671 and 3675

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 3675 the smallest integer that is 13490925 that is divisible by both numbers.

Least Common Multiple (LCM) of 3671 and 3675 is 13490925.

LCM(3671,3675) = 13490925

LCM of 3671 and 3675

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

LCM of:
and

Least Common Multiple of 3671 and 3675

LCM of 3671 and 3675 is 13490925

Least common multiple can be found by multiplying the highest exponent prime factors of 3671 and 3675. First we will calculate the prime factors of 3671 and 3675.

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 3675


3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 3675 are 3, 5,7. Prime factorization of 3675 in exponential form is:

3675 = 31×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3671 and 3675.

LCM(3671,3675) = 31×52×72×36711
LCM(3671,3675) = 13490925

Factors of 3671

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

1, 3671

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675

Least Common Multiple of 3671 and 3675 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 3675, than apply into the LCM equation.

GCF(3671,3675) = 1
LCM(3671,3675) = ( 3671 × 3675) / 1
LCM(3671,3675) = 13490925 / 1
LCM(3671,3675) = 13490925

Properties of LCM 3671 and 3675

(i) The LCM of 3675 and 3671 is associative

LCM of 3671 and 3675 = LCM of 3675 and 3671

Related Least Common Multiples of 3671

Related Least Common Multiples of 3675

Frequently Asked Questions on LCM of 3671 and 3675

1. What is the LCM of 3671 and 3675?

Answer: LCM of 3671 and 3675 is 13490925.

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 3675?

Answer: Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. There are 18 integers that are factors of 3675. The greatest factor of 3675 is 3675.

4. How to Find the LCM of 3671 and 3675?

Answer:

Least Common Multiple of 3671 and 3675 = 13490925

Step 1: Find the prime factorization of 3671

3671 = 3671

Step 2: Find the prime factorization of 3675

3675 = 3 x 5 x 5 x 7 x 7

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

LCM = 13490925 = 3 x 5 x 5 x 7 x 7 x 3671

Step 4: Therefore, the least common multiple of 3671 and 3675 is 13490925.