Least Common Multiple of 3645 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 3645 and 3650 the smallest integer that is 2660850 that is divisible by both numbers.

Least Common Multiple (LCM) of 3645 and 3650 is 2660850.

LCM(3645,3650) = 2660850

LCM of 3645 and 3650

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

LCM of:
and

Least Common Multiple of 3645 and 3650

LCM of 3645 and 3650 is 2660850

Least common multiple can be found by multiplying the highest exponent prime factors of 3645 and 3650. First we will calculate the prime factors of 3645 and 3650.

Prime Factorization of 3645


3 3645
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3645 are 3,5. Prime factorization of 3645 in exponential form is:

3645 = 36×51

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 3645 and 3650.

LCM(3645,3650) = 21×36×52×731
LCM(3645,3650) = 2660850

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645

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 3645 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 3645 and 3650, than apply into the LCM equation.

GCF(3645,3650) = 5
LCM(3645,3650) = ( 3645 × 3650) / 5
LCM(3645,3650) = 13304250 / 5
LCM(3645,3650) = 2660850

Properties of LCM 3645 and 3650

(i) The LCM of 3650 and 3645 is associative

LCM of 3645 and 3650 = LCM of 3650 and 3645

Related Least Common Multiples of 3645

Related Least Common Multiples of 3650

Frequently Asked Questions on LCM of 3645 and 3650

1. What is the LCM of 3645 and 3650?

Answer: LCM of 3645 and 3650 is 2660850.

2. What are the Factors of 3645?

Answer: Factors of 3645 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645. There are 14 integers that are factors of 3645. The greatest factor of 3645 is 3645.

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 3645 and 3650?

Answer:

Least Common Multiple of 3645 and 3650 = 2660850

Step 1: Find the prime factorization of 3645

3645 = 3 x 3 x 3 x 3 x 3 x 3 x 5

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 = 2660850 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 73

Step 4: Therefore, the least common multiple of 3645 and 3650 is 2660850.