Least Common Multiple of 3652 and 3657

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 3657 the smallest integer that is 13355364 that is divisible by both numbers.

Least Common Multiple (LCM) of 3652 and 3657 is 13355364.

LCM(3652,3657) = 13355364

LCM of 3652 and 3657

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

LCM of:
and

Least Common Multiple of 3652 and 3657

LCM of 3652 and 3657 is 13355364

Least common multiple can be found by multiplying the highest exponent prime factors of 3652 and 3657. First we will calculate the prime factors of 3652 and 3657.

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 3657


3 3657
23 1219
53 53
1

Prime factors of 3657 are 3, 23,53. Prime factorization of 3657 in exponential form is:

3657 = 31×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3652 and 3657.

LCM(3652,3657) = 22×31×111×231×531×831
LCM(3652,3657) = 13355364

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 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1, 3, 23, 53, 69, 159, 1219, 3657

Least Common Multiple of 3652 and 3657 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 3657, than apply into the LCM equation.

GCF(3652,3657) = 1
LCM(3652,3657) = ( 3652 × 3657) / 1
LCM(3652,3657) = 13355364 / 1
LCM(3652,3657) = 13355364

Properties of LCM 3652 and 3657

(i) The LCM of 3657 and 3652 is associative

LCM of 3652 and 3657 = LCM of 3657 and 3652

Related Least Common Multiples of 3652

Related Least Common Multiples of 3657

Frequently Asked Questions on LCM of 3652 and 3657

1. What is the LCM of 3652 and 3657?

Answer: LCM of 3652 and 3657 is 13355364.

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 3657?

Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.

4. How to Find the LCM of 3652 and 3657?

Answer:

Least Common Multiple of 3652 and 3657 = 13355364

Step 1: Find the prime factorization of 3652

3652 = 2 x 2 x 11 x 83

Step 2: Find the prime factorization of 3657

3657 = 3 x 23 x 53

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

LCM = 13355364 = 2 x 2 x 3 x 11 x 23 x 53 x 83

Step 4: Therefore, the least common multiple of 3652 and 3657 is 13355364.