Least Common Multiple of 3674 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 3674 and 3681 the smallest integer that is 13523994 that is divisible by both numbers.

Least Common Multiple (LCM) of 3674 and 3681 is 13523994.

LCM(3674,3681) = 13523994

LCM of 3674 and 3681

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

LCM of:
and

Least Common Multiple of 3674 and 3681

LCM of 3674 and 3681 is 13523994

Least common multiple can be found by multiplying the highest exponent prime factors of 3674 and 3681. First we will calculate the prime factors of 3674 and 3681.

Prime Factorization of 3674


2 3674
11 1837
167 167
1

Prime factors of 3674 are 2, 11,167. Prime factorization of 3674 in exponential form is:

3674 = 21×111×1671

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 3674 and 3681.

LCM(3674,3681) = 21×32×111×1671×4091
LCM(3674,3681) = 13523994

Factors of 3674

List of positive integer factors of 3674 that divides 3674 without a remainder.

1, 2, 11, 22, 167, 334, 1837, 3674

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 3674 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 3674 and 3681, than apply into the LCM equation.

GCF(3674,3681) = 1
LCM(3674,3681) = ( 3674 × 3681) / 1
LCM(3674,3681) = 13523994 / 1
LCM(3674,3681) = 13523994

Properties of LCM 3674 and 3681

(i) The LCM of 3681 and 3674 is associative

LCM of 3674 and 3681 = LCM of 3681 and 3674

Related Least Common Multiples of 3674

Related Least Common Multiples of 3681

Frequently Asked Questions on LCM of 3674 and 3681

1. What is the LCM of 3674 and 3681?

Answer: LCM of 3674 and 3681 is 13523994.

2. What are the Factors of 3674?

Answer: Factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674. There are 8 integers that are factors of 3674. The greatest factor of 3674 is 3674.

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 3674 and 3681?

Answer:

Least Common Multiple of 3674 and 3681 = 13523994

Step 1: Find the prime factorization of 3674

3674 = 2 x 11 x 167

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 = 13523994 = 2 x 3 x 3 x 11 x 167 x 409

Step 4: Therefore, the least common multiple of 3674 and 3681 is 13523994.