Least Common Multiple of 3702 and 3710

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 3710 the smallest integer that is 6867210 that is divisible by both numbers.

Least Common Multiple (LCM) of 3702 and 3710 is 6867210.

LCM(3702,3710) = 6867210

LCM of 3702 and 3710

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

LCM of:
and

Least Common Multiple of 3702 and 3710

LCM of 3702 and 3710 is 6867210

Least common multiple can be found by multiplying the highest exponent prime factors of 3702 and 3710. First we will calculate the prime factors of 3702 and 3710.

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 3710


2 3710
5 1855
7 371
53 53
1

Prime factors of 3710 are 2, 5, 7,53. Prime factorization of 3710 in exponential form is:

3710 = 21×51×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3702 and 3710.

LCM(3702,3710) = 21×31×51×71×531×6171
LCM(3702,3710) = 6867210

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 3710

List of positive integer factors of 3710 that divides 3710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710

Least Common Multiple of 3702 and 3710 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 3710, than apply into the LCM equation.

GCF(3702,3710) = 2
LCM(3702,3710) = ( 3702 × 3710) / 2
LCM(3702,3710) = 13734420 / 2
LCM(3702,3710) = 6867210

Properties of LCM 3702 and 3710

(i) The LCM of 3710 and 3702 is associative

LCM of 3702 and 3710 = LCM of 3710 and 3702

Related Least Common Multiples of 3702

Related Least Common Multiples of 3710

Frequently Asked Questions on LCM of 3702 and 3710

1. What is the LCM of 3702 and 3710?

Answer: LCM of 3702 and 3710 is 6867210.

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 3710?

Answer: Factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710. There are 16 integers that are factors of 3710. The greatest factor of 3710 is 3710.

4. How to Find the LCM of 3702 and 3710?

Answer:

Least Common Multiple of 3702 and 3710 = 6867210

Step 1: Find the prime factorization of 3702

3702 = 2 x 3 x 617

Step 2: Find the prime factorization of 3710

3710 = 2 x 5 x 7 x 53

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

LCM = 6867210 = 2 x 3 x 5 x 7 x 53 x 617

Step 4: Therefore, the least common multiple of 3702 and 3710 is 6867210.