Least Common Multiple of 3708 and 3714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3708 and 3714 the smallest integer that is 2295252 that is divisible by both numbers.

Least Common Multiple (LCM) of 3708 and 3714 is 2295252.

LCM(3708,3714) = 2295252

LCM of 3708 and 3714

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

LCM of:
and

Least Common Multiple of 3708 and 3714

LCM of 3708 and 3714 is 2295252

Least common multiple can be found by multiplying the highest exponent prime factors of 3708 and 3714. First we will calculate the prime factors of 3708 and 3714.

Prime Factorization of 3708


2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 3708 are 2, 3,103. Prime factorization of 3708 in exponential form is:

3708 = 22×32×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3708 and 3714.

LCM(3708,3714) = 22×32×1031×6191
LCM(3708,3714) = 2295252

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708

Factors of 3714

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

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

Least Common Multiple of 3708 and 3714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3708 and 3714, than apply into the LCM equation.

GCF(3708,3714) = 6
LCM(3708,3714) = ( 3708 × 3714) / 6
LCM(3708,3714) = 13771512 / 6
LCM(3708,3714) = 2295252

Properties of LCM 3708 and 3714

(i) The LCM of 3714 and 3708 is associative

LCM of 3708 and 3714 = LCM of 3714 and 3708

Related Least Common Multiples of 3708

Related Least Common Multiples of 3714

Frequently Asked Questions on LCM of 3708 and 3714

1. What is the LCM of 3708 and 3714?

Answer: LCM of 3708 and 3714 is 2295252.

2. What are the Factors of 3708?

Answer: Factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708. There are 18 integers that are factors of 3708. The greatest factor of 3708 is 3708.

3. 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.

4. How to Find the LCM of 3708 and 3714?

Answer:

Least Common Multiple of 3708 and 3714 = 2295252

Step 1: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

Step 2: Find the prime factorization of 3714

3714 = 2 x 3 x 619

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

LCM = 2295252 = 2 x 2 x 3 x 3 x 103 x 619

Step 4: Therefore, the least common multiple of 3708 and 3714 is 2295252.