Least Common Multiple of 3730 and 3734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3730 and 3734 the smallest integer that is 6963910 that is divisible by both numbers.

Least Common Multiple (LCM) of 3730 and 3734 is 6963910.

LCM(3730,3734) = 6963910

LCM of 3730 and 3734

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

LCM of:
and

Least Common Multiple of 3730 and 3734

LCM of 3730 and 3734 is 6963910

Least common multiple can be found by multiplying the highest exponent prime factors of 3730 and 3734. First we will calculate the prime factors of 3730 and 3734.

Prime Factorization of 3730


2 3730
5 1865
373 373
1

Prime factors of 3730 are 2, 5,373. Prime factorization of 3730 in exponential form is:

3730 = 21×51×3731

Prime Factorization of 3734


2 3734
1867 1867
1

Prime factors of 3734 are 2,1867. Prime factorization of 3734 in exponential form is:

3734 = 21×18671

Now multiplying the highest exponent prime factors to calculate the LCM of 3730 and 3734.

LCM(3730,3734) = 21×51×3731×18671
LCM(3730,3734) = 6963910

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1, 2, 5, 10, 373, 746, 1865, 3730

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1, 2, 1867, 3734

Least Common Multiple of 3730 and 3734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3730 and 3734, than apply into the LCM equation.

GCF(3730,3734) = 2
LCM(3730,3734) = ( 3730 × 3734) / 2
LCM(3730,3734) = 13927820 / 2
LCM(3730,3734) = 6963910

Properties of LCM 3730 and 3734

(i) The LCM of 3734 and 3730 is associative

LCM of 3730 and 3734 = LCM of 3734 and 3730

Related Least Common Multiples of 3730

Related Least Common Multiples of 3734

Frequently Asked Questions on LCM of 3730 and 3734

1. What is the LCM of 3730 and 3734?

Answer: LCM of 3730 and 3734 is 6963910.

2. What are the Factors of 3730?

Answer: Factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730. There are 8 integers that are factors of 3730. The greatest factor of 3730 is 3730.

3. What are the Factors of 3734?

Answer: Factors of 3734 are 1, 2, 1867, 3734. There are 4 integers that are factors of 3734. The greatest factor of 3734 is 3734.

4. How to Find the LCM of 3730 and 3734?

Answer:

Least Common Multiple of 3730 and 3734 = 6963910

Step 1: Find the prime factorization of 3730

3730 = 2 x 5 x 373

Step 2: Find the prime factorization of 3734

3734 = 2 x 1867

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

LCM = 6963910 = 2 x 5 x 373 x 1867

Step 4: Therefore, the least common multiple of 3730 and 3734 is 6963910.