Least Common Multiple of 3670 and 3676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3670 and 3676 the smallest integer that is 6745460 that is divisible by both numbers.

Least Common Multiple (LCM) of 3670 and 3676 is 6745460.

LCM(3670,3676) = 6745460

LCM of 3670 and 3676

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

LCM of:
and

Least Common Multiple of 3670 and 3676

LCM of 3670 and 3676 is 6745460

Least common multiple can be found by multiplying the highest exponent prime factors of 3670 and 3676. First we will calculate the prime factors of 3670 and 3676.

Prime Factorization of 3670


2 3670
5 1835
367 367
1

Prime factors of 3670 are 2, 5,367. Prime factorization of 3670 in exponential form is:

3670 = 21×51×3671

Prime Factorization of 3676


2 3676
2 1838
919 919
1

Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:

3676 = 22×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 3670 and 3676.

LCM(3670,3676) = 22×51×3671×9191
LCM(3670,3676) = 6745460

Factors of 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1, 2, 5, 10, 367, 734, 1835, 3670

Factors of 3676

List of positive integer factors of 3676 that divides 3676 without a remainder.

1, 2, 4, 919, 1838, 3676

Least Common Multiple of 3670 and 3676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3670 and 3676, than apply into the LCM equation.

GCF(3670,3676) = 2
LCM(3670,3676) = ( 3670 × 3676) / 2
LCM(3670,3676) = 13490920 / 2
LCM(3670,3676) = 6745460

Properties of LCM 3670 and 3676

(i) The LCM of 3676 and 3670 is associative

LCM of 3670 and 3676 = LCM of 3676 and 3670

Related Least Common Multiples of 3670

Related Least Common Multiples of 3676

Frequently Asked Questions on LCM of 3670 and 3676

1. What is the LCM of 3670 and 3676?

Answer: LCM of 3670 and 3676 is 6745460.

2. What are the Factors of 3670?

Answer: Factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670. There are 8 integers that are factors of 3670. The greatest factor of 3670 is 3670.

3. What are the Factors of 3676?

Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.

4. How to Find the LCM of 3670 and 3676?

Answer:

Least Common Multiple of 3670 and 3676 = 6745460

Step 1: Find the prime factorization of 3670

3670 = 2 x 5 x 367

Step 2: Find the prime factorization of 3676

3676 = 2 x 2 x 919

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

LCM = 6745460 = 2 x 2 x 5 x 367 x 919

Step 4: Therefore, the least common multiple of 3670 and 3676 is 6745460.