Least Common Multiple of 3672 and 3676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3672 and 3676 the smallest integer that is 3374568 that is divisible by both numbers.

Least Common Multiple (LCM) of 3672 and 3676 is 3374568.

LCM(3672,3676) = 3374568

LCM of 3672 and 3676

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

LCM of:
and

Least Common Multiple of 3672 and 3676

LCM of 3672 and 3676 is 3374568

Least common multiple can be found by multiplying the highest exponent prime factors of 3672 and 3676. First we will calculate the prime factors of 3672 and 3676.

Prime Factorization of 3672


2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 3672 are 2, 3,17. Prime factorization of 3672 in exponential form is:

3672 = 23×33×171

Prime Factorization of 3676


2 3676
2 1838
919 919
1

Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:

3676 = 22×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 3672 and 3676.

LCM(3672,3676) = 23×33×171×9191
LCM(3672,3676) = 3374568

Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672

Factors of 3676

List of positive integer factors of 3676 that divides 3676 without a remainder.

1, 2, 4, 919, 1838, 3676

Least Common Multiple of 3672 and 3676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3672 and 3676, than apply into the LCM equation.

GCF(3672,3676) = 4
LCM(3672,3676) = ( 3672 × 3676) / 4
LCM(3672,3676) = 13498272 / 4
LCM(3672,3676) = 3374568

Properties of LCM 3672 and 3676

(i) The LCM of 3676 and 3672 is associative

LCM of 3672 and 3676 = LCM of 3676 and 3672

Related Least Common Multiples of 3672

Related Least Common Multiples of 3676

Frequently Asked Questions on LCM of 3672 and 3676

1. What is the LCM of 3672 and 3676?

Answer: LCM of 3672 and 3676 is 3374568.

2. What are the Factors of 3672?

Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.

3. What are the Factors of 3676?

Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.

4. How to Find the LCM of 3672 and 3676?

Answer:

Least Common Multiple of 3672 and 3676 = 3374568

Step 1: Find the prime factorization of 3672

3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 3676

3676 = 2 x 2 x 919

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

LCM = 3374568 = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 919

Step 4: Therefore, the least common multiple of 3672 and 3676 is 3374568.