Least Common Multiple of 3740 and 3747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3740 and 3747 the smallest integer that is 14013780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3740 and 3747 is 14013780.

LCM(3740,3747) = 14013780

LCM of 3740 and 3747

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

LCM of:
and

Least Common Multiple of 3740 and 3747

LCM of 3740 and 3747 is 14013780

Least common multiple can be found by multiplying the highest exponent prime factors of 3740 and 3747. First we will calculate the prime factors of 3740 and 3747.

Prime Factorization of 3740


2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 3740 are 2, 5, 11,17. Prime factorization of 3740 in exponential form is:

3740 = 22×51×111×171

Prime Factorization of 3747


3 3747
1249 1249
1

Prime factors of 3747 are 3,1249. Prime factorization of 3747 in exponential form is:

3747 = 31×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 3740 and 3747.

LCM(3740,3747) = 22×31×51×111×171×12491
LCM(3740,3747) = 14013780

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740

Factors of 3747

List of positive integer factors of 3747 that divides 3747 without a remainder.

1, 3, 1249, 3747

Least Common Multiple of 3740 and 3747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3740 and 3747, than apply into the LCM equation.

GCF(3740,3747) = 1
LCM(3740,3747) = ( 3740 × 3747) / 1
LCM(3740,3747) = 14013780 / 1
LCM(3740,3747) = 14013780

Properties of LCM 3740 and 3747

(i) The LCM of 3747 and 3740 is associative

LCM of 3740 and 3747 = LCM of 3747 and 3740

Related Least Common Multiples of 3740

Related Least Common Multiples of 3747

Frequently Asked Questions on LCM of 3740 and 3747

1. What is the LCM of 3740 and 3747?

Answer: LCM of 3740 and 3747 is 14013780.

2. What are the Factors of 3740?

Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.

3. What are the Factors of 3747?

Answer: Factors of 3747 are 1, 3, 1249, 3747. There are 4 integers that are factors of 3747. The greatest factor of 3747 is 3747.

4. How to Find the LCM of 3740 and 3747?

Answer:

Least Common Multiple of 3740 and 3747 = 14013780

Step 1: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 3747

3747 = 3 x 1249

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

LCM = 14013780 = 2 x 2 x 3 x 5 x 11 x 17 x 1249

Step 4: Therefore, the least common multiple of 3740 and 3747 is 14013780.