Least Common Multiple of 3702 and 3706

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 3706 the smallest integer that is 6859806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3702 and 3706 is 6859806.

LCM(3702,3706) = 6859806

LCM of 3702 and 3706

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

LCM of:
and

Least Common Multiple of 3702 and 3706

LCM of 3702 and 3706 is 6859806

Least common multiple can be found by multiplying the highest exponent prime factors of 3702 and 3706. First we will calculate the prime factors of 3702 and 3706.

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 3706


2 3706
17 1853
109 109
1

Prime factors of 3706 are 2, 17,109. Prime factorization of 3706 in exponential form is:

3706 = 21×171×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3702 and 3706.

LCM(3702,3706) = 21×31×171×1091×6171
LCM(3702,3706) = 6859806

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 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1, 2, 17, 34, 109, 218, 1853, 3706

Least Common Multiple of 3702 and 3706 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 3706, than apply into the LCM equation.

GCF(3702,3706) = 2
LCM(3702,3706) = ( 3702 × 3706) / 2
LCM(3702,3706) = 13719612 / 2
LCM(3702,3706) = 6859806

Properties of LCM 3702 and 3706

(i) The LCM of 3706 and 3702 is associative

LCM of 3702 and 3706 = LCM of 3706 and 3702

Related Least Common Multiples of 3702

Related Least Common Multiples of 3706

Frequently Asked Questions on LCM of 3702 and 3706

1. What is the LCM of 3702 and 3706?

Answer: LCM of 3702 and 3706 is 6859806.

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 3706?

Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.

4. How to Find the LCM of 3702 and 3706?

Answer:

Least Common Multiple of 3702 and 3706 = 6859806

Step 1: Find the prime factorization of 3702

3702 = 2 x 3 x 617

Step 2: Find the prime factorization of 3706

3706 = 2 x 17 x 109

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

LCM = 6859806 = 2 x 3 x 17 x 109 x 617

Step 4: Therefore, the least common multiple of 3702 and 3706 is 6859806.