Least Common Multiple of 3622 and 3628

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 3628 the smallest integer that is 6570308 that is divisible by both numbers.

Least Common Multiple (LCM) of 3622 and 3628 is 6570308.

LCM(3622,3628) = 6570308

LCM of 3622 and 3628

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

LCM of:
and

Least Common Multiple of 3622 and 3628

LCM of 3622 and 3628 is 6570308

Least common multiple can be found by multiplying the highest exponent prime factors of 3622 and 3628. First we will calculate the prime factors of 3622 and 3628.

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 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 3622 and 3628.

LCM(3622,3628) = 22×9071×18111
LCM(3622,3628) = 6570308

Factors of 3622

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

1, 2, 1811, 3622

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1, 2, 4, 907, 1814, 3628

Least Common Multiple of 3622 and 3628 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 3628, than apply into the LCM equation.

GCF(3622,3628) = 2
LCM(3622,3628) = ( 3622 × 3628) / 2
LCM(3622,3628) = 13140616 / 2
LCM(3622,3628) = 6570308

Properties of LCM 3622 and 3628

(i) The LCM of 3628 and 3622 is associative

LCM of 3622 and 3628 = LCM of 3628 and 3622

Related Least Common Multiples of 3622

Related Least Common Multiples of 3628

Frequently Asked Questions on LCM of 3622 and 3628

1. What is the LCM of 3622 and 3628?

Answer: LCM of 3622 and 3628 is 6570308.

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 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

4. How to Find the LCM of 3622 and 3628?

Answer:

Least Common Multiple of 3622 and 3628 = 6570308

Step 1: Find the prime factorization of 3622

3622 = 2 x 1811

Step 2: Find the prime factorization of 3628

3628 = 2 x 2 x 907

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

LCM = 6570308 = 2 x 2 x 907 x 1811

Step 4: Therefore, the least common multiple of 3622 and 3628 is 6570308.