Least Common Multiple of 3696 and 3704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3696 and 3704 the smallest integer that is 1711248 that is divisible by both numbers.

Least Common Multiple (LCM) of 3696 and 3704 is 1711248.

LCM(3696,3704) = 1711248

LCM of 3696 and 3704

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

LCM of:
and

Least Common Multiple of 3696 and 3704

LCM of 3696 and 3704 is 1711248

Least common multiple can be found by multiplying the highest exponent prime factors of 3696 and 3704. First we will calculate the prime factors of 3696 and 3704.

Prime Factorization of 3696


2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 3696 are 2, 3, 7,11. Prime factorization of 3696 in exponential form is:

3696 = 24×31×71×111

Prime Factorization of 3704


2 3704
2 1852
2 926
463 463
1

Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:

3704 = 23×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 3696 and 3704.

LCM(3696,3704) = 24×31×71×111×4631
LCM(3696,3704) = 1711248

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1, 2, 4, 8, 463, 926, 1852, 3704

Least Common Multiple of 3696 and 3704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3696 and 3704, than apply into the LCM equation.

GCF(3696,3704) = 8
LCM(3696,3704) = ( 3696 × 3704) / 8
LCM(3696,3704) = 13689984 / 8
LCM(3696,3704) = 1711248

Properties of LCM 3696 and 3704

(i) The LCM of 3704 and 3696 is associative

LCM of 3696 and 3704 = LCM of 3704 and 3696

Related Least Common Multiples of 3696

Related Least Common Multiples of 3704

Frequently Asked Questions on LCM of 3696 and 3704

1. What is the LCM of 3696 and 3704?

Answer: LCM of 3696 and 3704 is 1711248.

2. What are the Factors of 3696?

Answer: Factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. There are 40 integers that are factors of 3696. The greatest factor of 3696 is 3696.

3. What are the Factors of 3704?

Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.

4. How to Find the LCM of 3696 and 3704?

Answer:

Least Common Multiple of 3696 and 3704 = 1711248

Step 1: Find the prime factorization of 3696

3696 = 2 x 2 x 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 3704

3704 = 2 x 2 x 2 x 463

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

LCM = 1711248 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 463

Step 4: Therefore, the least common multiple of 3696 and 3704 is 1711248.