Least Common Multiple of 3652 and 3656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3652 and 3656 the smallest integer that is 3337928 that is divisible by both numbers.

Least Common Multiple (LCM) of 3652 and 3656 is 3337928.

LCM(3652,3656) = 3337928

LCM of 3652 and 3656

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

LCM of:
and

Least Common Multiple of 3652 and 3656

LCM of 3652 and 3656 is 3337928

Least common multiple can be found by multiplying the highest exponent prime factors of 3652 and 3656. First we will calculate the prime factors of 3652 and 3656.

Prime Factorization of 3652


2 3652
2 1826
11 913
83 83
1

Prime factors of 3652 are 2, 11,83. Prime factorization of 3652 in exponential form is:

3652 = 22×111×831

Prime Factorization of 3656


2 3656
2 1828
2 914
457 457
1

Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:

3656 = 23×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 3652 and 3656.

LCM(3652,3656) = 23×111×831×4571
LCM(3652,3656) = 3337928

Factors of 3652

List of positive integer factors of 3652 that divides 3652 without a remainder.

1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652

Factors of 3656

List of positive integer factors of 3656 that divides 3656 without a remainder.

1, 2, 4, 8, 457, 914, 1828, 3656

Least Common Multiple of 3652 and 3656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3652 and 3656, than apply into the LCM equation.

GCF(3652,3656) = 4
LCM(3652,3656) = ( 3652 × 3656) / 4
LCM(3652,3656) = 13351712 / 4
LCM(3652,3656) = 3337928

Properties of LCM 3652 and 3656

(i) The LCM of 3656 and 3652 is associative

LCM of 3652 and 3656 = LCM of 3656 and 3652

Related Least Common Multiples of 3652

Related Least Common Multiples of 3656

Frequently Asked Questions on LCM of 3652 and 3656

1. What is the LCM of 3652 and 3656?

Answer: LCM of 3652 and 3656 is 3337928.

2. What are the Factors of 3652?

Answer: Factors of 3652 are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652. There are 12 integers that are factors of 3652. The greatest factor of 3652 is 3652.

3. What are the Factors of 3656?

Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.

4. How to Find the LCM of 3652 and 3656?

Answer:

Least Common Multiple of 3652 and 3656 = 3337928

Step 1: Find the prime factorization of 3652

3652 = 2 x 2 x 11 x 83

Step 2: Find the prime factorization of 3656

3656 = 2 x 2 x 2 x 457

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

LCM = 3337928 = 2 x 2 x 2 x 11 x 83 x 457

Step 4: Therefore, the least common multiple of 3652 and 3656 is 3337928.