Least Common Multiple of 3718 and 3722

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 3722 the smallest integer that is 6919198 that is divisible by both numbers.

Least Common Multiple (LCM) of 3718 and 3722 is 6919198.

LCM(3718,3722) = 6919198

LCM of 3718 and 3722

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

LCM of:
and

Least Common Multiple of 3718 and 3722

LCM of 3718 and 3722 is 6919198

Least common multiple can be found by multiplying the highest exponent prime factors of 3718 and 3722. First we will calculate the prime factors of 3718 and 3722.

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 3722


2 3722
1861 1861
1

Prime factors of 3722 are 2,1861. Prime factorization of 3722 in exponential form is:

3722 = 21×18611

Now multiplying the highest exponent prime factors to calculate the LCM of 3718 and 3722.

LCM(3718,3722) = 21×111×132×18611
LCM(3718,3722) = 6919198

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 3722

List of positive integer factors of 3722 that divides 3722 without a remainder.

1, 2, 1861, 3722

Least Common Multiple of 3718 and 3722 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 3722, than apply into the LCM equation.

GCF(3718,3722) = 2
LCM(3718,3722) = ( 3718 × 3722) / 2
LCM(3718,3722) = 13838396 / 2
LCM(3718,3722) = 6919198

Properties of LCM 3718 and 3722

(i) The LCM of 3722 and 3718 is associative

LCM of 3718 and 3722 = LCM of 3722 and 3718

Related Least Common Multiples of 3718

Related Least Common Multiples of 3722

Frequently Asked Questions on LCM of 3718 and 3722

1. What is the LCM of 3718 and 3722?

Answer: LCM of 3718 and 3722 is 6919198.

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 3722?

Answer: Factors of 3722 are 1, 2, 1861, 3722. There are 4 integers that are factors of 3722. The greatest factor of 3722 is 3722.

4. How to Find the LCM of 3718 and 3722?

Answer:

Least Common Multiple of 3718 and 3722 = 6919198

Step 1: Find the prime factorization of 3718

3718 = 2 x 11 x 13 x 13

Step 2: Find the prime factorization of 3722

3722 = 2 x 1861

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

LCM = 6919198 = 2 x 11 x 13 x 13 x 1861

Step 4: Therefore, the least common multiple of 3718 and 3722 is 6919198.