Least Common Multiple of 3712 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 3712 and 3714 the smallest integer that is 6893184 that is divisible by both numbers.

Least Common Multiple (LCM) of 3712 and 3714 is 6893184.

LCM(3712,3714) = 6893184

LCM of 3712 and 3714

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

LCM of:
and

Least Common Multiple of 3712 and 3714

LCM of 3712 and 3714 is 6893184

Least common multiple can be found by multiplying the highest exponent prime factors of 3712 and 3714. First we will calculate the prime factors of 3712 and 3714.

Prime Factorization of 3712


2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 3712 are 2,29. Prime factorization of 3712 in exponential form is:

3712 = 27×291

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 3712 and 3714.

LCM(3712,3714) = 27×31×291×6191
LCM(3712,3714) = 6893184

Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712

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 3712 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 3712 and 3714, than apply into the LCM equation.

GCF(3712,3714) = 2
LCM(3712,3714) = ( 3712 × 3714) / 2
LCM(3712,3714) = 13786368 / 2
LCM(3712,3714) = 6893184

Properties of LCM 3712 and 3714

(i) The LCM of 3714 and 3712 is associative

LCM of 3712 and 3714 = LCM of 3714 and 3712

Related Least Common Multiples of 3712

Related Least Common Multiples of 3714

Frequently Asked Questions on LCM of 3712 and 3714

1. What is the LCM of 3712 and 3714?

Answer: LCM of 3712 and 3714 is 6893184.

2. What are the Factors of 3712?

Answer: Factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712. There are 16 integers that are factors of 3712. The greatest factor of 3712 is 3712.

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 3712 and 3714?

Answer:

Least Common Multiple of 3712 and 3714 = 6893184

Step 1: Find the prime factorization of 3712

3712 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

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 = 6893184 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 619

Step 4: Therefore, the least common multiple of 3712 and 3714 is 6893184.