Least Common Multiple of 3740 and 3744

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 3744 the smallest integer that is 3500640 that is divisible by both numbers.

Least Common Multiple (LCM) of 3740 and 3744 is 3500640.

LCM(3740,3744) = 3500640

LCM of 3740 and 3744

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

LCM of:
and

Least Common Multiple of 3740 and 3744

LCM of 3740 and 3744 is 3500640

Least common multiple can be found by multiplying the highest exponent prime factors of 3740 and 3744. First we will calculate the prime factors of 3740 and 3744.

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 3744


2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 3744 are 2, 3,13. Prime factorization of 3744 in exponential form is:

3744 = 25×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3740 and 3744.

LCM(3740,3744) = 25×32×51×111×131×171
LCM(3740,3744) = 3500640

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 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744

Least Common Multiple of 3740 and 3744 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 3744, than apply into the LCM equation.

GCF(3740,3744) = 4
LCM(3740,3744) = ( 3740 × 3744) / 4
LCM(3740,3744) = 14002560 / 4
LCM(3740,3744) = 3500640

Properties of LCM 3740 and 3744

(i) The LCM of 3744 and 3740 is associative

LCM of 3740 and 3744 = LCM of 3744 and 3740

Related Least Common Multiples of 3740

Related Least Common Multiples of 3744

Frequently Asked Questions on LCM of 3740 and 3744

1. What is the LCM of 3740 and 3744?

Answer: LCM of 3740 and 3744 is 3500640.

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 3744?

Answer: Factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744. There are 36 integers that are factors of 3744. The greatest factor of 3744 is 3744.

4. How to Find the LCM of 3740 and 3744?

Answer:

Least Common Multiple of 3740 and 3744 = 3500640

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 3744

3744 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 3500640 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 3740 and 3744 is 3500640.