Least Common Multiple of 3678 and 3684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3678 and 3684 the smallest integer that is 2258292 that is divisible by both numbers.

Least Common Multiple (LCM) of 3678 and 3684 is 2258292.

LCM(3678,3684) = 2258292

LCM of 3678 and 3684

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

LCM of:
and

Least Common Multiple of 3678 and 3684

LCM of 3678 and 3684 is 2258292

Least common multiple can be found by multiplying the highest exponent prime factors of 3678 and 3684. First we will calculate the prime factors of 3678 and 3684.

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

Prime Factorization of 3684


2 3684
2 1842
3 921
307 307
1

Prime factors of 3684 are 2, 3,307. Prime factorization of 3684 in exponential form is:

3684 = 22×31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3678 and 3684.

LCM(3678,3684) = 22×31×3071×6131
LCM(3678,3684) = 2258292

Factors of 3678

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

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

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684

Least Common Multiple of 3678 and 3684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3678 and 3684, than apply into the LCM equation.

GCF(3678,3684) = 6
LCM(3678,3684) = ( 3678 × 3684) / 6
LCM(3678,3684) = 13549752 / 6
LCM(3678,3684) = 2258292

Properties of LCM 3678 and 3684

(i) The LCM of 3684 and 3678 is associative

LCM of 3678 and 3684 = LCM of 3684 and 3678

Related Least Common Multiples of 3678

Related Least Common Multiples of 3684

Frequently Asked Questions on LCM of 3678 and 3684

1. What is the LCM of 3678 and 3684?

Answer: LCM of 3678 and 3684 is 2258292.

2. 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.

3. What are the Factors of 3684?

Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.

4. How to Find the LCM of 3678 and 3684?

Answer:

Least Common Multiple of 3678 and 3684 = 2258292

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

Step 2: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

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

LCM = 2258292 = 2 x 2 x 3 x 307 x 613

Step 4: Therefore, the least common multiple of 3678 and 3684 is 2258292.