Least Common Multiple of 3630 and 3634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3630 and 3634 the smallest integer that is 6595710 that is divisible by both numbers.

Least Common Multiple (LCM) of 3630 and 3634 is 6595710.

LCM(3630,3634) = 6595710

LCM of 3630 and 3634

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

LCM of:
and

Least Common Multiple of 3630 and 3634

LCM of 3630 and 3634 is 6595710

Least common multiple can be found by multiplying the highest exponent prime factors of 3630 and 3634. First we will calculate the prime factors of 3630 and 3634.

Prime Factorization of 3630


2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 3630 are 2, 3, 5,11. Prime factorization of 3630 in exponential form is:

3630 = 21×31×51×112

Prime Factorization of 3634


2 3634
23 1817
79 79
1

Prime factors of 3634 are 2, 23,79. Prime factorization of 3634 in exponential form is:

3634 = 21×231×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3630 and 3634.

LCM(3630,3634) = 21×31×51×112×231×791
LCM(3630,3634) = 6595710

Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630

Factors of 3634

List of positive integer factors of 3634 that divides 3634 without a remainder.

1, 2, 23, 46, 79, 158, 1817, 3634

Least Common Multiple of 3630 and 3634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3630 and 3634, than apply into the LCM equation.

GCF(3630,3634) = 2
LCM(3630,3634) = ( 3630 × 3634) / 2
LCM(3630,3634) = 13191420 / 2
LCM(3630,3634) = 6595710

Properties of LCM 3630 and 3634

(i) The LCM of 3634 and 3630 is associative

LCM of 3630 and 3634 = LCM of 3634 and 3630

Related Least Common Multiples of 3630

Related Least Common Multiples of 3634

Frequently Asked Questions on LCM of 3630 and 3634

1. What is the LCM of 3630 and 3634?

Answer: LCM of 3630 and 3634 is 6595710.

2. What are the Factors of 3630?

Answer: Factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. There are 24 integers that are factors of 3630. The greatest factor of 3630 is 3630.

3. What are the Factors of 3634?

Answer: Factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634. There are 8 integers that are factors of 3634. The greatest factor of 3634 is 3634.

4. How to Find the LCM of 3630 and 3634?

Answer:

Least Common Multiple of 3630 and 3634 = 6595710

Step 1: Find the prime factorization of 3630

3630 = 2 x 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 3634

3634 = 2 x 23 x 79

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

LCM = 6595710 = 2 x 3 x 5 x 11 x 11 x 23 x 79

Step 4: Therefore, the least common multiple of 3630 and 3634 is 6595710.