Least Common Multiple of 3640 and 3646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3640 and 3646 the smallest integer that is 6635720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3640 and 3646 is 6635720.

LCM(3640,3646) = 6635720

LCM of 3640 and 3646

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

LCM of:
and

Least Common Multiple of 3640 and 3646

LCM of 3640 and 3646 is 6635720

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3646. First we will calculate the prime factors of 3640 and 3646.

Prime Factorization of 3640


2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 3640 are 2, 5, 7,13. Prime factorization of 3640 in exponential form is:

3640 = 23×51×71×131

Prime Factorization of 3646


2 3646
1823 1823
1

Prime factors of 3646 are 2,1823. Prime factorization of 3646 in exponential form is:

3646 = 21×18231

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3646.

LCM(3640,3646) = 23×51×71×131×18231
LCM(3640,3646) = 6635720

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640

Factors of 3646

List of positive integer factors of 3646 that divides 3646 without a remainder.

1, 2, 1823, 3646

Least Common Multiple of 3640 and 3646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3640 and 3646, than apply into the LCM equation.

GCF(3640,3646) = 2
LCM(3640,3646) = ( 3640 × 3646) / 2
LCM(3640,3646) = 13271440 / 2
LCM(3640,3646) = 6635720

Properties of LCM 3640 and 3646

(i) The LCM of 3646 and 3640 is associative

LCM of 3640 and 3646 = LCM of 3646 and 3640

Related Least Common Multiples of 3640

Related Least Common Multiples of 3646

Frequently Asked Questions on LCM of 3640 and 3646

1. What is the LCM of 3640 and 3646?

Answer: LCM of 3640 and 3646 is 6635720.

2. What are the Factors of 3640?

Answer: Factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. There are 32 integers that are factors of 3640. The greatest factor of 3640 is 3640.

3. What are the Factors of 3646?

Answer: Factors of 3646 are 1, 2, 1823, 3646. There are 4 integers that are factors of 3646. The greatest factor of 3646 is 3646.

4. How to Find the LCM of 3640 and 3646?

Answer:

Least Common Multiple of 3640 and 3646 = 6635720

Step 1: Find the prime factorization of 3640

3640 = 2 x 2 x 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 3646

3646 = 2 x 1823

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

LCM = 6635720 = 2 x 2 x 2 x 5 x 7 x 13 x 1823

Step 4: Therefore, the least common multiple of 3640 and 3646 is 6635720.