Least Common Multiple of 3696 and 3703

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 3703 the smallest integer that is 1955184 that is divisible by both numbers.

Least Common Multiple (LCM) of 3696 and 3703 is 1955184.

LCM(3696,3703) = 1955184

LCM of 3696 and 3703

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

LCM of:
and

Least Common Multiple of 3696 and 3703

LCM of 3696 and 3703 is 1955184

Least common multiple can be found by multiplying the highest exponent prime factors of 3696 and 3703. First we will calculate the prime factors of 3696 and 3703.

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 3703


7 3703
23 529
23 23
1

Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:

3703 = 71×232

Now multiplying the highest exponent prime factors to calculate the LCM of 3696 and 3703.

LCM(3696,3703) = 24×31×71×111×232
LCM(3696,3703) = 1955184

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 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1, 7, 23, 161, 529, 3703

Least Common Multiple of 3696 and 3703 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 3703, than apply into the LCM equation.

GCF(3696,3703) = 7
LCM(3696,3703) = ( 3696 × 3703) / 7
LCM(3696,3703) = 13686288 / 7
LCM(3696,3703) = 1955184

Properties of LCM 3696 and 3703

(i) The LCM of 3703 and 3696 is associative

LCM of 3696 and 3703 = LCM of 3703 and 3696

Related Least Common Multiples of 3696

Related Least Common Multiples of 3703

Frequently Asked Questions on LCM of 3696 and 3703

1. What is the LCM of 3696 and 3703?

Answer: LCM of 3696 and 3703 is 1955184.

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 3703?

Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.

4. How to Find the LCM of 3696 and 3703?

Answer:

Least Common Multiple of 3696 and 3703 = 1955184

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 3703

3703 = 7 x 23 x 23

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

LCM = 1955184 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 23 x 23

Step 4: Therefore, the least common multiple of 3696 and 3703 is 1955184.