Least Common Multiple of 5644 and 5652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5644 and 5652 the smallest integer that is 7974972 that is divisible by both numbers.

Least Common Multiple (LCM) of 5644 and 5652 is 7974972.

LCM(5644,5652) = 7974972

LCM of 5644 and 5652

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

LCM of:
and

Least Common Multiple of 5644 and 5652

LCM of 5644 and 5652 is 7974972

Least common multiple can be found by multiplying the highest exponent prime factors of 5644 and 5652. First we will calculate the prime factors of 5644 and 5652.

Prime Factorization of 5644


2 5644
2 2822
17 1411
83 83
1

Prime factors of 5644 are 2, 17,83. Prime factorization of 5644 in exponential form is:

5644 = 22×171×831

Prime Factorization of 5652


2 5652
2 2826
3 1413
3 471
157 157
1

Prime factors of 5652 are 2, 3,157. Prime factorization of 5652 in exponential form is:

5652 = 22×32×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5644 and 5652.

LCM(5644,5652) = 22×32×171×831×1571
LCM(5644,5652) = 7974972

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644

Factors of 5652

List of positive integer factors of 5652 that divides 5652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652

Least Common Multiple of 5644 and 5652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5644 and 5652, than apply into the LCM equation.

GCF(5644,5652) = 4
LCM(5644,5652) = ( 5644 × 5652) / 4
LCM(5644,5652) = 31899888 / 4
LCM(5644,5652) = 7974972

Properties of LCM 5644 and 5652

(i) The LCM of 5652 and 5644 is associative

LCM of 5644 and 5652 = LCM of 5652 and 5644

Related Least Common Multiples of 5644

Related Least Common Multiples of 5652

Frequently Asked Questions on LCM of 5644 and 5652

1. What is the LCM of 5644 and 5652?

Answer: LCM of 5644 and 5652 is 7974972.

2. What are the Factors of 5644?

Answer: Factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644. There are 12 integers that are factors of 5644. The greatest factor of 5644 is 5644.

3. What are the Factors of 5652?

Answer: Factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652. There are 18 integers that are factors of 5652. The greatest factor of 5652 is 5652.

4. How to Find the LCM of 5644 and 5652?

Answer:

Least Common Multiple of 5644 and 5652 = 7974972

Step 1: Find the prime factorization of 5644

5644 = 2 x 2 x 17 x 83

Step 2: Find the prime factorization of 5652

5652 = 2 x 2 x 3 x 3 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 = 7974972 = 2 x 2 x 3 x 3 x 17 x 83 x 157

Step 4: Therefore, the least common multiple of 5644 and 5652 is 7974972.