Least Common Multiple of 5644 and 5650

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 5650 the smallest integer that is 15944300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5644 and 5650 is 15944300.

LCM(5644,5650) = 15944300

LCM of 5644 and 5650

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

LCM of:
and

Least Common Multiple of 5644 and 5650

LCM of 5644 and 5650 is 15944300

Least common multiple can be found by multiplying the highest exponent prime factors of 5644 and 5650. First we will calculate the prime factors of 5644 and 5650.

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 5650


2 5650
5 2825
5 565
113 113
1

Prime factors of 5650 are 2, 5,113. Prime factorization of 5650 in exponential form is:

5650 = 21×52×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5644 and 5650.

LCM(5644,5650) = 22×52×171×831×1131
LCM(5644,5650) = 15944300

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 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650

Least Common Multiple of 5644 and 5650 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 5650, than apply into the LCM equation.

GCF(5644,5650) = 2
LCM(5644,5650) = ( 5644 × 5650) / 2
LCM(5644,5650) = 31888600 / 2
LCM(5644,5650) = 15944300

Properties of LCM 5644 and 5650

(i) The LCM of 5650 and 5644 is associative

LCM of 5644 and 5650 = LCM of 5650 and 5644

Related Least Common Multiples of 5644

Related Least Common Multiples of 5650

Frequently Asked Questions on LCM of 5644 and 5650

1. What is the LCM of 5644 and 5650?

Answer: LCM of 5644 and 5650 is 15944300.

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 5650?

Answer: Factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650. There are 12 integers that are factors of 5650. The greatest factor of 5650 is 5650.

4. How to Find the LCM of 5644 and 5650?

Answer:

Least Common Multiple of 5644 and 5650 = 15944300

Step 1: Find the prime factorization of 5644

5644 = 2 x 2 x 17 x 83

Step 2: Find the prime factorization of 5650

5650 = 2 x 5 x 5 x 113

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

LCM = 15944300 = 2 x 2 x 5 x 5 x 17 x 83 x 113

Step 4: Therefore, the least common multiple of 5644 and 5650 is 15944300.