Least Common Multiple of 3722 and 3727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3722 and 3727 the smallest integer that is 13871894 that is divisible by both numbers.

Least Common Multiple (LCM) of 3722 and 3727 is 13871894.

LCM(3722,3727) = 13871894

LCM of 3722 and 3727

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

LCM of:
and

Least Common Multiple of 3722 and 3727

LCM of 3722 and 3727 is 13871894

Least common multiple can be found by multiplying the highest exponent prime factors of 3722 and 3727. First we will calculate the prime factors of 3722 and 3727.

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

Prime Factorization of 3727


3727 3727
1

Prime factors of 3727 are 3727. Prime factorization of 3727 in exponential form is:

3727 = 37271

Now multiplying the highest exponent prime factors to calculate the LCM of 3722 and 3727.

LCM(3722,3727) = 21×18611×37271
LCM(3722,3727) = 13871894

Factors of 3722

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

1, 2, 1861, 3722

Factors of 3727

List of positive integer factors of 3727 that divides 3727 without a remainder.

1, 3727

Least Common Multiple of 3722 and 3727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3722 and 3727, than apply into the LCM equation.

GCF(3722,3727) = 1
LCM(3722,3727) = ( 3722 × 3727) / 1
LCM(3722,3727) = 13871894 / 1
LCM(3722,3727) = 13871894

Properties of LCM 3722 and 3727

(i) The LCM of 3727 and 3722 is associative

LCM of 3722 and 3727 = LCM of 3727 and 3722

Related Least Common Multiples of 3722

Related Least Common Multiples of 3727

Frequently Asked Questions on LCM of 3722 and 3727

1. What is the LCM of 3722 and 3727?

Answer: LCM of 3722 and 3727 is 13871894.

2. 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.

3. What are the Factors of 3727?

Answer: Factors of 3727 are 1, 3727. There are 2 integers that are factors of 3727. The greatest factor of 3727 is 3727.

4. How to Find the LCM of 3722 and 3727?

Answer:

Least Common Multiple of 3722 and 3727 = 13871894

Step 1: Find the prime factorization of 3722

3722 = 2 x 1861

Step 2: Find the prime factorization of 3727

3727 = 3727

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

LCM = 13871894 = 2 x 1861 x 3727

Step 4: Therefore, the least common multiple of 3722 and 3727 is 13871894.