Least Common Multiple of 3644 and 3650

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 3650 the smallest integer that is 6650300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3644 and 3650 is 6650300.

LCM(3644,3650) = 6650300

LCM of 3644 and 3650

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

LCM of:
and

Least Common Multiple of 3644 and 3650

LCM of 3644 and 3650 is 6650300

Least common multiple can be found by multiplying the highest exponent prime factors of 3644 and 3650. First we will calculate the prime factors of 3644 and 3650.

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 3650


2 3650
5 1825
5 365
73 73
1

Prime factors of 3650 are 2, 5,73. Prime factorization of 3650 in exponential form is:

3650 = 21×52×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3644 and 3650.

LCM(3644,3650) = 22×52×731×9111
LCM(3644,3650) = 6650300

Factors of 3644

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

1, 2, 4, 911, 1822, 3644

Factors of 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650

Least Common Multiple of 3644 and 3650 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 3650, than apply into the LCM equation.

GCF(3644,3650) = 2
LCM(3644,3650) = ( 3644 × 3650) / 2
LCM(3644,3650) = 13300600 / 2
LCM(3644,3650) = 6650300

Properties of LCM 3644 and 3650

(i) The LCM of 3650 and 3644 is associative

LCM of 3644 and 3650 = LCM of 3650 and 3644

Related Least Common Multiples of 3644

Related Least Common Multiples of 3650

Frequently Asked Questions on LCM of 3644 and 3650

1. What is the LCM of 3644 and 3650?

Answer: LCM of 3644 and 3650 is 6650300.

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 3650?

Answer: Factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650. There are 12 integers that are factors of 3650. The greatest factor of 3650 is 3650.

4. How to Find the LCM of 3644 and 3650?

Answer:

Least Common Multiple of 3644 and 3650 = 6650300

Step 1: Find the prime factorization of 3644

3644 = 2 x 2 x 911

Step 2: Find the prime factorization of 3650

3650 = 2 x 5 x 5 x 73

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

LCM = 6650300 = 2 x 2 x 5 x 5 x 73 x 911

Step 4: Therefore, the least common multiple of 3644 and 3650 is 6650300.