Least Common Multiple of 3696 and 3702

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 3702 the smallest integer that is 2280432 that is divisible by both numbers.

Least Common Multiple (LCM) of 3696 and 3702 is 2280432.

LCM(3696,3702) = 2280432

LCM of 3696 and 3702

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

LCM of:
and

Least Common Multiple of 3696 and 3702

LCM of 3696 and 3702 is 2280432

Least common multiple can be found by multiplying the highest exponent prime factors of 3696 and 3702. First we will calculate the prime factors of 3696 and 3702.

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 3702


2 3702
3 1851
617 617
1

Prime factors of 3702 are 2, 3,617. Prime factorization of 3702 in exponential form is:

3702 = 21×31×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 3696 and 3702.

LCM(3696,3702) = 24×31×71×111×6171
LCM(3696,3702) = 2280432

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 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1, 2, 3, 6, 617, 1234, 1851, 3702

Least Common Multiple of 3696 and 3702 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 3702, than apply into the LCM equation.

GCF(3696,3702) = 6
LCM(3696,3702) = ( 3696 × 3702) / 6
LCM(3696,3702) = 13682592 / 6
LCM(3696,3702) = 2280432

Properties of LCM 3696 and 3702

(i) The LCM of 3702 and 3696 is associative

LCM of 3696 and 3702 = LCM of 3702 and 3696

Related Least Common Multiples of 3696

Related Least Common Multiples of 3702

Frequently Asked Questions on LCM of 3696 and 3702

1. What is the LCM of 3696 and 3702?

Answer: LCM of 3696 and 3702 is 2280432.

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 3702?

Answer: Factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702. There are 8 integers that are factors of 3702. The greatest factor of 3702 is 3702.

4. How to Find the LCM of 3696 and 3702?

Answer:

Least Common Multiple of 3696 and 3702 = 2280432

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 3702

3702 = 2 x 3 x 617

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

LCM = 2280432 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 617

Step 4: Therefore, the least common multiple of 3696 and 3702 is 2280432.