Least Common Multiple of 3628 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 3628 and 3634 the smallest integer that is 6592076 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3634 is 6592076.

LCM(3628,3634) = 6592076

LCM of 3628 and 3634

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

LCM of:
and

Least Common Multiple of 3628 and 3634

LCM of 3628 and 3634 is 6592076

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3634. First we will calculate the prime factors of 3628 and 3634.

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

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 3628 and 3634.

LCM(3628,3634) = 22×231×791×9071
LCM(3628,3634) = 6592076

Factors of 3628

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

1, 2, 4, 907, 1814, 3628

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 3628 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 3628 and 3634, than apply into the LCM equation.

GCF(3628,3634) = 2
LCM(3628,3634) = ( 3628 × 3634) / 2
LCM(3628,3634) = 13184152 / 2
LCM(3628,3634) = 6592076

Properties of LCM 3628 and 3634

(i) The LCM of 3634 and 3628 is associative

LCM of 3628 and 3634 = LCM of 3634 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3634

Frequently Asked Questions on LCM of 3628 and 3634

1. What is the LCM of 3628 and 3634?

Answer: LCM of 3628 and 3634 is 6592076.

2. 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.

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 3628 and 3634?

Answer:

Least Common Multiple of 3628 and 3634 = 6592076

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

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 = 6592076 = 2 x 2 x 23 x 79 x 907

Step 4: Therefore, the least common multiple of 3628 and 3634 is 6592076.