Least Common Multiple of 3730 and 3736

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 3736 the smallest integer that is 6967640 that is divisible by both numbers.

Least Common Multiple (LCM) of 3730 and 3736 is 6967640.

LCM(3730,3736) = 6967640

LCM of 3730 and 3736

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

LCM of:
and

Least Common Multiple of 3730 and 3736

LCM of 3730 and 3736 is 6967640

Least common multiple can be found by multiplying the highest exponent prime factors of 3730 and 3736. First we will calculate the prime factors of 3730 and 3736.

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 3736


2 3736
2 1868
2 934
467 467
1

Prime factors of 3736 are 2,467. Prime factorization of 3736 in exponential form is:

3736 = 23×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 3730 and 3736.

LCM(3730,3736) = 23×51×3731×4671
LCM(3730,3736) = 6967640

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 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1, 2, 4, 8, 467, 934, 1868, 3736

Least Common Multiple of 3730 and 3736 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 3736, than apply into the LCM equation.

GCF(3730,3736) = 2
LCM(3730,3736) = ( 3730 × 3736) / 2
LCM(3730,3736) = 13935280 / 2
LCM(3730,3736) = 6967640

Properties of LCM 3730 and 3736

(i) The LCM of 3736 and 3730 is associative

LCM of 3730 and 3736 = LCM of 3736 and 3730

Related Least Common Multiples of 3730

Related Least Common Multiples of 3736

Frequently Asked Questions on LCM of 3730 and 3736

1. What is the LCM of 3730 and 3736?

Answer: LCM of 3730 and 3736 is 6967640.

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 3736?

Answer: Factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736. There are 8 integers that are factors of 3736. The greatest factor of 3736 is 3736.

4. How to Find the LCM of 3730 and 3736?

Answer:

Least Common Multiple of 3730 and 3736 = 6967640

Step 1: Find the prime factorization of 3730

3730 = 2 x 5 x 373

Step 2: Find the prime factorization of 3736

3736 = 2 x 2 x 2 x 467

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

LCM = 6967640 = 2 x 2 x 2 x 5 x 373 x 467

Step 4: Therefore, the least common multiple of 3730 and 3736 is 6967640.