Least Common Multiple of 3708 and 3712

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 3712 the smallest integer that is 3441024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3708 and 3712 is 3441024.

LCM(3708,3712) = 3441024

LCM of 3708 and 3712

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

LCM of:
and

Least Common Multiple of 3708 and 3712

LCM of 3708 and 3712 is 3441024

Least common multiple can be found by multiplying the highest exponent prime factors of 3708 and 3712. First we will calculate the prime factors of 3708 and 3712.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3708 and 3712.

LCM(3708,3712) = 27×32×291×1031
LCM(3708,3712) = 3441024

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 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

Least Common Multiple of 3708 and 3712 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 3712, than apply into the LCM equation.

GCF(3708,3712) = 4
LCM(3708,3712) = ( 3708 × 3712) / 4
LCM(3708,3712) = 13764096 / 4
LCM(3708,3712) = 3441024

Properties of LCM 3708 and 3712

(i) The LCM of 3712 and 3708 is associative

LCM of 3708 and 3712 = LCM of 3712 and 3708

Related Least Common Multiples of 3708

Related Least Common Multiples of 3712

Frequently Asked Questions on LCM of 3708 and 3712

1. What is the LCM of 3708 and 3712?

Answer: LCM of 3708 and 3712 is 3441024.

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 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.

4. How to Find the LCM of 3708 and 3712?

Answer:

Least Common Multiple of 3708 and 3712 = 3441024

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 3712

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

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

LCM = 3441024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 103

Step 4: Therefore, the least common multiple of 3708 and 3712 is 3441024.