Least Common Multiple of 3622 and 3630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3622 and 3630 the smallest integer that is 6573930 that is divisible by both numbers.

Least Common Multiple (LCM) of 3622 and 3630 is 6573930.

LCM(3622,3630) = 6573930

LCM of 3622 and 3630

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

LCM of:
and

Least Common Multiple of 3622 and 3630

LCM of 3622 and 3630 is 6573930

Least common multiple can be found by multiplying the highest exponent prime factors of 3622 and 3630. First we will calculate the prime factors of 3622 and 3630.

Prime Factorization of 3622


2 3622
1811 1811
1

Prime factors of 3622 are 2,1811. Prime factorization of 3622 in exponential form is:

3622 = 21×18111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3622 and 3630.

LCM(3622,3630) = 21×31×51×112×18111
LCM(3622,3630) = 6573930

Factors of 3622

List of positive integer factors of 3622 that divides 3622 without a remainder.

1, 2, 1811, 3622

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

Least Common Multiple of 3622 and 3630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3622 and 3630, than apply into the LCM equation.

GCF(3622,3630) = 2
LCM(3622,3630) = ( 3622 × 3630) / 2
LCM(3622,3630) = 13147860 / 2
LCM(3622,3630) = 6573930

Properties of LCM 3622 and 3630

(i) The LCM of 3630 and 3622 is associative

LCM of 3622 and 3630 = LCM of 3630 and 3622

Related Least Common Multiples of 3622

Related Least Common Multiples of 3630

Frequently Asked Questions on LCM of 3622 and 3630

1. What is the LCM of 3622 and 3630?

Answer: LCM of 3622 and 3630 is 6573930.

2. What are the Factors of 3622?

Answer: Factors of 3622 are 1, 2, 1811, 3622. There are 4 integers that are factors of 3622. The greatest factor of 3622 is 3622.

3. 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.

4. How to Find the LCM of 3622 and 3630?

Answer:

Least Common Multiple of 3622 and 3630 = 6573930

Step 1: Find the prime factorization of 3622

3622 = 2 x 1811

Step 2: Find the prime factorization of 3630

3630 = 2 x 3 x 5 x 11 x 11

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

LCM = 6573930 = 2 x 3 x 5 x 11 x 11 x 1811

Step 4: Therefore, the least common multiple of 3622 and 3630 is 6573930.