Least Common Multiple of 3620 and 3626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3620 and 3626 the smallest integer that is 6563060 that is divisible by both numbers.

Least Common Multiple (LCM) of 3620 and 3626 is 6563060.

LCM(3620,3626) = 6563060

LCM of 3620 and 3626

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

LCM of:
and

Least Common Multiple of 3620 and 3626

LCM of 3620 and 3626 is 6563060

Least common multiple can be found by multiplying the highest exponent prime factors of 3620 and 3626. First we will calculate the prime factors of 3620 and 3626.

Prime Factorization of 3620


2 3620
2 1810
5 905
181 181
1

Prime factors of 3620 are 2, 5,181. Prime factorization of 3620 in exponential form is:

3620 = 22×51×1811

Prime Factorization of 3626


2 3626
7 1813
7 259
37 37
1

Prime factors of 3626 are 2, 7,37. Prime factorization of 3626 in exponential form is:

3626 = 21×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3620 and 3626.

LCM(3620,3626) = 22×51×72×371×1811
LCM(3620,3626) = 6563060

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626

Least Common Multiple of 3620 and 3626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3620 and 3626, than apply into the LCM equation.

GCF(3620,3626) = 2
LCM(3620,3626) = ( 3620 × 3626) / 2
LCM(3620,3626) = 13126120 / 2
LCM(3620,3626) = 6563060

Properties of LCM 3620 and 3626

(i) The LCM of 3626 and 3620 is associative

LCM of 3620 and 3626 = LCM of 3626 and 3620

Related Least Common Multiples of 3620

Related Least Common Multiples of 3626

Frequently Asked Questions on LCM of 3620 and 3626

1. What is the LCM of 3620 and 3626?

Answer: LCM of 3620 and 3626 is 6563060.

2. What are the Factors of 3620?

Answer: Factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620. There are 12 integers that are factors of 3620. The greatest factor of 3620 is 3620.

3. What are the Factors of 3626?

Answer: Factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626. There are 12 integers that are factors of 3626. The greatest factor of 3626 is 3626.

4. How to Find the LCM of 3620 and 3626?

Answer:

Least Common Multiple of 3620 and 3626 = 6563060

Step 1: Find the prime factorization of 3620

3620 = 2 x 2 x 5 x 181

Step 2: Find the prime factorization of 3626

3626 = 2 x 7 x 7 x 37

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

LCM = 6563060 = 2 x 2 x 5 x 7 x 7 x 37 x 181

Step 4: Therefore, the least common multiple of 3620 and 3626 is 6563060.