Least Common Multiple of 3718 and 3724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3718 and 3724 the smallest integer that is 6922916 that is divisible by both numbers.

Least Common Multiple (LCM) of 3718 and 3724 is 6922916.

LCM(3718,3724) = 6922916

LCM of 3718 and 3724

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

LCM of:
and

Least Common Multiple of 3718 and 3724

LCM of 3718 and 3724 is 6922916

Least common multiple can be found by multiplying the highest exponent prime factors of 3718 and 3724. First we will calculate the prime factors of 3718 and 3724.

Prime Factorization of 3718


2 3718
11 1859
13 169
13 13
1

Prime factors of 3718 are 2, 11,13. Prime factorization of 3718 in exponential form is:

3718 = 21×111×132

Prime Factorization of 3724


2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 3724 are 2, 7,19. Prime factorization of 3724 in exponential form is:

3724 = 22×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3718 and 3724.

LCM(3718,3724) = 22×72×111×132×191
LCM(3718,3724) = 6922916

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724

Least Common Multiple of 3718 and 3724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3718 and 3724, than apply into the LCM equation.

GCF(3718,3724) = 2
LCM(3718,3724) = ( 3718 × 3724) / 2
LCM(3718,3724) = 13845832 / 2
LCM(3718,3724) = 6922916

Properties of LCM 3718 and 3724

(i) The LCM of 3724 and 3718 is associative

LCM of 3718 and 3724 = LCM of 3724 and 3718

Related Least Common Multiples of 3718

Related Least Common Multiples of 3724

Frequently Asked Questions on LCM of 3718 and 3724

1. What is the LCM of 3718 and 3724?

Answer: LCM of 3718 and 3724 is 6922916.

2. What are the Factors of 3718?

Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.

3. What are the Factors of 3724?

Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.

4. How to Find the LCM of 3718 and 3724?

Answer:

Least Common Multiple of 3718 and 3724 = 6922916

Step 1: Find the prime factorization of 3718

3718 = 2 x 11 x 13 x 13

Step 2: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

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

LCM = 6922916 = 2 x 2 x 7 x 7 x 11 x 13 x 13 x 19

Step 4: Therefore, the least common multiple of 3718 and 3724 is 6922916.