Least Common Multiple of 3717 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 3717 and 3722 the smallest integer that is 13834674 that is divisible by both numbers.

Least Common Multiple (LCM) of 3717 and 3722 is 13834674.

LCM(3717,3722) = 13834674

LCM of 3717 and 3722

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

LCM of:
and

Least Common Multiple of 3717 and 3722

LCM of 3717 and 3722 is 13834674

Least common multiple can be found by multiplying the highest exponent prime factors of 3717 and 3722. First we will calculate the prime factors of 3717 and 3722.

Prime Factorization of 3717


3 3717
3 1239
7 413
59 59
1

Prime factors of 3717 are 3, 7,59. Prime factorization of 3717 in exponential form is:

3717 = 32×71×591

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 3717 and 3722.

LCM(3717,3722) = 21×32×71×591×18611
LCM(3717,3722) = 13834674

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717

Factors of 3722

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

1, 2, 1861, 3722

Least Common Multiple of 3717 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 3717 and 3722, than apply into the LCM equation.

GCF(3717,3722) = 1
LCM(3717,3722) = ( 3717 × 3722) / 1
LCM(3717,3722) = 13834674 / 1
LCM(3717,3722) = 13834674

Properties of LCM 3717 and 3722

(i) The LCM of 3722 and 3717 is associative

LCM of 3717 and 3722 = LCM of 3722 and 3717

Related Least Common Multiples of 3717

Related Least Common Multiples of 3722

Frequently Asked Questions on LCM of 3717 and 3722

1. What is the LCM of 3717 and 3722?

Answer: LCM of 3717 and 3722 is 13834674.

2. What are the Factors of 3717?

Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.

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 3717 and 3722?

Answer:

Least Common Multiple of 3717 and 3722 = 13834674

Step 1: Find the prime factorization of 3717

3717 = 3 x 3 x 7 x 59

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 = 13834674 = 2 x 3 x 3 x 7 x 59 x 1861

Step 4: Therefore, the least common multiple of 3717 and 3722 is 13834674.