Least Common Multiple of 3650 and 3655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3650 and 3655 the smallest integer that is 2668150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3650 and 3655 is 2668150.

LCM(3650,3655) = 2668150

LCM of 3650 and 3655

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

LCM of:
and

Least Common Multiple of 3650 and 3655

LCM of 3650 and 3655 is 2668150

Least common multiple can be found by multiplying the highest exponent prime factors of 3650 and 3655. First we will calculate the prime factors of 3650 and 3655.

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

Prime Factorization of 3655


5 3655
17 731
43 43
1

Prime factors of 3655 are 5, 17,43. Prime factorization of 3655 in exponential form is:

3655 = 51×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3650 and 3655.

LCM(3650,3655) = 21×52×171×431×731
LCM(3650,3655) = 2668150

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

Factors of 3655

List of positive integer factors of 3655 that divides 3655 without a remainder.

1, 5, 17, 43, 85, 215, 731, 3655

Least Common Multiple of 3650 and 3655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3650 and 3655, than apply into the LCM equation.

GCF(3650,3655) = 5
LCM(3650,3655) = ( 3650 × 3655) / 5
LCM(3650,3655) = 13340750 / 5
LCM(3650,3655) = 2668150

Properties of LCM 3650 and 3655

(i) The LCM of 3655 and 3650 is associative

LCM of 3650 and 3655 = LCM of 3655 and 3650

Related Least Common Multiples of 3650

Related Least Common Multiples of 3655

Frequently Asked Questions on LCM of 3650 and 3655

1. What is the LCM of 3650 and 3655?

Answer: LCM of 3650 and 3655 is 2668150.

2. 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.

3. What are the Factors of 3655?

Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.

4. How to Find the LCM of 3650 and 3655?

Answer:

Least Common Multiple of 3650 and 3655 = 2668150

Step 1: Find the prime factorization of 3650

3650 = 2 x 5 x 5 x 73

Step 2: Find the prime factorization of 3655

3655 = 5 x 17 x 43

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

LCM = 2668150 = 2 x 5 x 5 x 17 x 43 x 73

Step 4: Therefore, the least common multiple of 3650 and 3655 is 2668150.