Least Common Multiple of 3644 and 3652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3644 and 3652 the smallest integer that is 3326972 that is divisible by both numbers.

Least Common Multiple (LCM) of 3644 and 3652 is 3326972.

LCM(3644,3652) = 3326972

LCM of 3644 and 3652

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

LCM of:
and

Least Common Multiple of 3644 and 3652

LCM of 3644 and 3652 is 3326972

Least common multiple can be found by multiplying the highest exponent prime factors of 3644 and 3652. First we will calculate the prime factors of 3644 and 3652.

Prime Factorization of 3644


2 3644
2 1822
911 911
1

Prime factors of 3644 are 2,911. Prime factorization of 3644 in exponential form is:

3644 = 22×9111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3644 and 3652.

LCM(3644,3652) = 22×111×831×9111
LCM(3644,3652) = 3326972

Factors of 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1, 2, 4, 911, 1822, 3644

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

Least Common Multiple of 3644 and 3652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3644 and 3652, than apply into the LCM equation.

GCF(3644,3652) = 4
LCM(3644,3652) = ( 3644 × 3652) / 4
LCM(3644,3652) = 13307888 / 4
LCM(3644,3652) = 3326972

Properties of LCM 3644 and 3652

(i) The LCM of 3652 and 3644 is associative

LCM of 3644 and 3652 = LCM of 3652 and 3644

Related Least Common Multiples of 3644

Related Least Common Multiples of 3652

Frequently Asked Questions on LCM of 3644 and 3652

1. What is the LCM of 3644 and 3652?

Answer: LCM of 3644 and 3652 is 3326972.

2. What are the Factors of 3644?

Answer: Factors of 3644 are 1, 2, 4, 911, 1822, 3644. There are 6 integers that are factors of 3644. The greatest factor of 3644 is 3644.

3. 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.

4. How to Find the LCM of 3644 and 3652?

Answer:

Least Common Multiple of 3644 and 3652 = 3326972

Step 1: Find the prime factorization of 3644

3644 = 2 x 2 x 911

Step 2: Find the prime factorization of 3652

3652 = 2 x 2 x 11 x 83

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

LCM = 3326972 = 2 x 2 x 11 x 83 x 911

Step 4: Therefore, the least common multiple of 3644 and 3652 is 3326972.