Least Common Multiple of 3716 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 3716 and 3722 the smallest integer that is 6915476 that is divisible by both numbers.

Least Common Multiple (LCM) of 3716 and 3722 is 6915476.

LCM(3716,3722) = 6915476

LCM of 3716 and 3722

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

LCM of:
and

Least Common Multiple of 3716 and 3722

LCM of 3716 and 3722 is 6915476

Least common multiple can be found by multiplying the highest exponent prime factors of 3716 and 3722. First we will calculate the prime factors of 3716 and 3722.

Prime Factorization of 3716


2 3716
2 1858
929 929
1

Prime factors of 3716 are 2,929. Prime factorization of 3716 in exponential form is:

3716 = 22×9291

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 3716 and 3722.

LCM(3716,3722) = 22×9291×18611
LCM(3716,3722) = 6915476

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1, 2, 4, 929, 1858, 3716

Factors of 3722

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

1, 2, 1861, 3722

Least Common Multiple of 3716 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 3716 and 3722, than apply into the LCM equation.

GCF(3716,3722) = 2
LCM(3716,3722) = ( 3716 × 3722) / 2
LCM(3716,3722) = 13830952 / 2
LCM(3716,3722) = 6915476

Properties of LCM 3716 and 3722

(i) The LCM of 3722 and 3716 is associative

LCM of 3716 and 3722 = LCM of 3722 and 3716

Related Least Common Multiples of 3716

Related Least Common Multiples of 3722

Frequently Asked Questions on LCM of 3716 and 3722

1. What is the LCM of 3716 and 3722?

Answer: LCM of 3716 and 3722 is 6915476.

2. What are the Factors of 3716?

Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.

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 3716 and 3722?

Answer:

Least Common Multiple of 3716 and 3722 = 6915476

Step 1: Find the prime factorization of 3716

3716 = 2 x 2 x 929

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 = 6915476 = 2 x 2 x 929 x 1861

Step 4: Therefore, the least common multiple of 3716 and 3722 is 6915476.