Least Common Multiple of 3678 and 3681

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 3681 the smallest integer that is 4512906 that is divisible by both numbers.

Least Common Multiple (LCM) of 3678 and 3681 is 4512906.

LCM(3678,3681) = 4512906

LCM of 3678 and 3681

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

LCM of:
and

Least Common Multiple of 3678 and 3681

LCM of 3678 and 3681 is 4512906

Least common multiple can be found by multiplying the highest exponent prime factors of 3678 and 3681. First we will calculate the prime factors of 3678 and 3681.

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 3681


3 3681
3 1227
409 409
1

Prime factors of 3681 are 3,409. Prime factorization of 3681 in exponential form is:

3681 = 32×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 3678 and 3681.

LCM(3678,3681) = 21×32×4091×6131
LCM(3678,3681) = 4512906

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 3681

List of positive integer factors of 3681 that divides 3681 without a remainder.

1, 3, 9, 409, 1227, 3681

Least Common Multiple of 3678 and 3681 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 3681, than apply into the LCM equation.

GCF(3678,3681) = 3
LCM(3678,3681) = ( 3678 × 3681) / 3
LCM(3678,3681) = 13538718 / 3
LCM(3678,3681) = 4512906

Properties of LCM 3678 and 3681

(i) The LCM of 3681 and 3678 is associative

LCM of 3678 and 3681 = LCM of 3681 and 3678

Related Least Common Multiples of 3678

Related Least Common Multiples of 3681

Frequently Asked Questions on LCM of 3678 and 3681

1. What is the LCM of 3678 and 3681?

Answer: LCM of 3678 and 3681 is 4512906.

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 3681?

Answer: Factors of 3681 are 1, 3, 9, 409, 1227, 3681. There are 6 integers that are factors of 3681. The greatest factor of 3681 is 3681.

4. How to Find the LCM of 3678 and 3681?

Answer:

Least Common Multiple of 3678 and 3681 = 4512906

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

Step 2: Find the prime factorization of 3681

3681 = 3 x 3 x 409

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

LCM = 4512906 = 2 x 3 x 3 x 409 x 613

Step 4: Therefore, the least common multiple of 3678 and 3681 is 4512906.