Least Common Multiple of 3672 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 3672 and 3679 the smallest integer that is 13509288 that is divisible by both numbers.

Least Common Multiple (LCM) of 3672 and 3679 is 13509288.

LCM(3672,3679) = 13509288

LCM of 3672 and 3679

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

LCM of:
and

Least Common Multiple of 3672 and 3679

LCM of 3672 and 3679 is 13509288

Least common multiple can be found by multiplying the highest exponent prime factors of 3672 and 3679. First we will calculate the prime factors of 3672 and 3679.

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 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 3672 and 3679.

LCM(3672,3679) = 23×33×131×171×2831
LCM(3672,3679) = 13509288

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 3679

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

1, 13, 283, 3679

Least Common Multiple of 3672 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 3672 and 3679, than apply into the LCM equation.

GCF(3672,3679) = 1
LCM(3672,3679) = ( 3672 × 3679) / 1
LCM(3672,3679) = 13509288 / 1
LCM(3672,3679) = 13509288

Properties of LCM 3672 and 3679

(i) The LCM of 3679 and 3672 is associative

LCM of 3672 and 3679 = LCM of 3679 and 3672

Related Least Common Multiples of 3672

Related Least Common Multiples of 3679

Frequently Asked Questions on LCM of 3672 and 3679

1. What is the LCM of 3672 and 3679?

Answer: LCM of 3672 and 3679 is 13509288.

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 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 3672 and 3679?

Answer:

Least Common Multiple of 3672 and 3679 = 13509288

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 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 = 13509288 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 17 x 283

Step 4: Therefore, the least common multiple of 3672 and 3679 is 13509288.