Least Common Multiple of 3670 and 3678

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 3678 the smallest integer that is 6749130 that is divisible by both numbers.

Least Common Multiple (LCM) of 3670 and 3678 is 6749130.

LCM(3670,3678) = 6749130

LCM of 3670 and 3678

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

LCM of:
and

Least Common Multiple of 3670 and 3678

LCM of 3670 and 3678 is 6749130

Least common multiple can be found by multiplying the highest exponent prime factors of 3670 and 3678. First we will calculate the prime factors of 3670 and 3678.

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 3678


2 3678
3 1839
613 613
1

Prime factors of 3678 are 2, 3,613. Prime factorization of 3678 in exponential form is:

3678 = 21×31×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 3670 and 3678.

LCM(3670,3678) = 21×31×51×3671×6131
LCM(3670,3678) = 6749130

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 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1, 2, 3, 6, 613, 1226, 1839, 3678

Least Common Multiple of 3670 and 3678 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 3678, than apply into the LCM equation.

GCF(3670,3678) = 2
LCM(3670,3678) = ( 3670 × 3678) / 2
LCM(3670,3678) = 13498260 / 2
LCM(3670,3678) = 6749130

Properties of LCM 3670 and 3678

(i) The LCM of 3678 and 3670 is associative

LCM of 3670 and 3678 = LCM of 3678 and 3670

Related Least Common Multiples of 3670

Related Least Common Multiples of 3678

Frequently Asked Questions on LCM of 3670 and 3678

1. What is the LCM of 3670 and 3678?

Answer: LCM of 3670 and 3678 is 6749130.

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 3678?

Answer: Factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678. There are 8 integers that are factors of 3678. The greatest factor of 3678 is 3678.

4. How to Find the LCM of 3670 and 3678?

Answer:

Least Common Multiple of 3670 and 3678 = 6749130

Step 1: Find the prime factorization of 3670

3670 = 2 x 5 x 367

Step 2: Find the prime factorization of 3678

3678 = 2 x 3 x 613

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

LCM = 6749130 = 2 x 3 x 5 x 367 x 613

Step 4: Therefore, the least common multiple of 3670 and 3678 is 6749130.