Least Common Multiple of 3694 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 3694 and 3702 the smallest integer that is 6837594 that is divisible by both numbers.

Least Common Multiple (LCM) of 3694 and 3702 is 6837594.

LCM(3694,3702) = 6837594

LCM of 3694 and 3702

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

LCM of:
and

Least Common Multiple of 3694 and 3702

LCM of 3694 and 3702 is 6837594

Least common multiple can be found by multiplying the highest exponent prime factors of 3694 and 3702. First we will calculate the prime factors of 3694 and 3702.

Prime Factorization of 3694


2 3694
1847 1847
1

Prime factors of 3694 are 2,1847. Prime factorization of 3694 in exponential form is:

3694 = 21×18471

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 3694 and 3702.

LCM(3694,3702) = 21×31×6171×18471
LCM(3694,3702) = 6837594

Factors of 3694

List of positive integer factors of 3694 that divides 3694 without a remainder.

1, 2, 1847, 3694

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 3694 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 3694 and 3702, than apply into the LCM equation.

GCF(3694,3702) = 2
LCM(3694,3702) = ( 3694 × 3702) / 2
LCM(3694,3702) = 13675188 / 2
LCM(3694,3702) = 6837594

Properties of LCM 3694 and 3702

(i) The LCM of 3702 and 3694 is associative

LCM of 3694 and 3702 = LCM of 3702 and 3694

Related Least Common Multiples of 3694

Related Least Common Multiples of 3702

Frequently Asked Questions on LCM of 3694 and 3702

1. What is the LCM of 3694 and 3702?

Answer: LCM of 3694 and 3702 is 6837594.

2. What are the Factors of 3694?

Answer: Factors of 3694 are 1, 2, 1847, 3694. There are 4 integers that are factors of 3694. The greatest factor of 3694 is 3694.

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 3694 and 3702?

Answer:

Least Common Multiple of 3694 and 3702 = 6837594

Step 1: Find the prime factorization of 3694

3694 = 2 x 1847

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 = 6837594 = 2 x 3 x 617 x 1847

Step 4: Therefore, the least common multiple of 3694 and 3702 is 6837594.