Least Common Multiple of 3608 and 3611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3608 and 3611 the smallest integer that is 13028488 that is divisible by both numbers.

Least Common Multiple (LCM) of 3608 and 3611 is 13028488.

LCM(3608,3611) = 13028488

LCM of 3608 and 3611

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

LCM of:
and

Least Common Multiple of 3608 and 3611

LCM of 3608 and 3611 is 13028488

Least common multiple can be found by multiplying the highest exponent prime factors of 3608 and 3611. First we will calculate the prime factors of 3608 and 3611.

Prime Factorization of 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2, 11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

Prime Factorization of 3611


23 3611
157 157
1

Prime factors of 3611 are 23,157. Prime factorization of 3611 in exponential form is:

3611 = 231×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3608 and 3611.

LCM(3608,3611) = 23×111×231×411×1571
LCM(3608,3611) = 13028488

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

Factors of 3611

List of positive integer factors of 3611 that divides 3611 without a remainder.

1, 23, 157, 3611

Least Common Multiple of 3608 and 3611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3608 and 3611, than apply into the LCM equation.

GCF(3608,3611) = 1
LCM(3608,3611) = ( 3608 × 3611) / 1
LCM(3608,3611) = 13028488 / 1
LCM(3608,3611) = 13028488

Properties of LCM 3608 and 3611

(i) The LCM of 3611 and 3608 is associative

LCM of 3608 and 3611 = LCM of 3611 and 3608

Related Least Common Multiples of 3608

Related Least Common Multiples of 3611

Frequently Asked Questions on LCM of 3608 and 3611

1. What is the LCM of 3608 and 3611?

Answer: LCM of 3608 and 3611 is 13028488.

2. What are the Factors of 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

3. What are the Factors of 3611?

Answer: Factors of 3611 are 1, 23, 157, 3611. There are 4 integers that are factors of 3611. The greatest factor of 3611 is 3611.

4. How to Find the LCM of 3608 and 3611?

Answer:

Least Common Multiple of 3608 and 3611 = 13028488

Step 1: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 3611

3611 = 23 x 157

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

LCM = 13028488 = 2 x 2 x 2 x 11 x 23 x 41 x 157

Step 4: Therefore, the least common multiple of 3608 and 3611 is 13028488.