Least Common Multiple of 3714 and 3721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3714 and 3721 the smallest integer that is 13819794 that is divisible by both numbers.

Least Common Multiple (LCM) of 3714 and 3721 is 13819794.

LCM(3714,3721) = 13819794

LCM of 3714 and 3721

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

LCM of:
and

Least Common Multiple of 3714 and 3721

LCM of 3714 and 3721 is 13819794

Least common multiple can be found by multiplying the highest exponent prime factors of 3714 and 3721. First we will calculate the prime factors of 3714 and 3721.

Prime Factorization of 3714


2 3714
3 1857
619 619
1

Prime factors of 3714 are 2, 3,619. Prime factorization of 3714 in exponential form is:

3714 = 21×31×6191

Prime Factorization of 3721


61 3721
61 61
1

Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:

3721 = 612

Now multiplying the highest exponent prime factors to calculate the LCM of 3714 and 3721.

LCM(3714,3721) = 21×31×612×6191
LCM(3714,3721) = 13819794

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1, 2, 3, 6, 619, 1238, 1857, 3714

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1, 61, 3721

Least Common Multiple of 3714 and 3721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3714 and 3721, than apply into the LCM equation.

GCF(3714,3721) = 1
LCM(3714,3721) = ( 3714 × 3721) / 1
LCM(3714,3721) = 13819794 / 1
LCM(3714,3721) = 13819794

Properties of LCM 3714 and 3721

(i) The LCM of 3721 and 3714 is associative

LCM of 3714 and 3721 = LCM of 3721 and 3714

Related Least Common Multiples of 3714

Related Least Common Multiples of 3721

Frequently Asked Questions on LCM of 3714 and 3721

1. What is the LCM of 3714 and 3721?

Answer: LCM of 3714 and 3721 is 13819794.

2. What are the Factors of 3714?

Answer: Factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714. There are 8 integers that are factors of 3714. The greatest factor of 3714 is 3714.

3. What are the Factors of 3721?

Answer: Factors of 3721 are 1, 61, 3721. There are 3 integers that are factors of 3721. The greatest factor of 3721 is 3721.

4. How to Find the LCM of 3714 and 3721?

Answer:

Least Common Multiple of 3714 and 3721 = 13819794

Step 1: Find the prime factorization of 3714

3714 = 2 x 3 x 619

Step 2: Find the prime factorization of 3721

3721 = 61 x 61

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

LCM = 13819794 = 2 x 3 x 61 x 61 x 619

Step 4: Therefore, the least common multiple of 3714 and 3721 is 13819794.