Least Common Multiple of 3702 and 3708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3702 and 3708 the smallest integer that is 2287836 that is divisible by both numbers.

Least Common Multiple (LCM) of 3702 and 3708 is 2287836.

LCM(3702,3708) = 2287836

LCM of 3702 and 3708

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

LCM of:
and

Least Common Multiple of 3702 and 3708

LCM of 3702 and 3708 is 2287836

Least common multiple can be found by multiplying the highest exponent prime factors of 3702 and 3708. First we will calculate the prime factors of 3702 and 3708.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3702 and 3708.

LCM(3702,3708) = 22×32×1031×6171
LCM(3702,3708) = 2287836

Factors of 3702

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

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

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

Least Common Multiple of 3702 and 3708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3702 and 3708, than apply into the LCM equation.

GCF(3702,3708) = 6
LCM(3702,3708) = ( 3702 × 3708) / 6
LCM(3702,3708) = 13727016 / 6
LCM(3702,3708) = 2287836

Properties of LCM 3702 and 3708

(i) The LCM of 3708 and 3702 is associative

LCM of 3702 and 3708 = LCM of 3708 and 3702

Related Least Common Multiples of 3702

Related Least Common Multiples of 3708

Frequently Asked Questions on LCM of 3702 and 3708

1. What is the LCM of 3702 and 3708?

Answer: LCM of 3702 and 3708 is 2287836.

2. 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.

3. 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.

4. How to Find the LCM of 3702 and 3708?

Answer:

Least Common Multiple of 3702 and 3708 = 2287836

Step 1: Find the prime factorization of 3702

3702 = 2 x 3 x 617

Step 2: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

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

LCM = 2287836 = 2 x 2 x 3 x 3 x 103 x 617

Step 4: Therefore, the least common multiple of 3702 and 3708 is 2287836.