Least Common Multiple of 3744 and 3751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3744 and 3751 the smallest integer that is 14043744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3744 and 3751 is 14043744.

LCM(3744,3751) = 14043744

LCM of 3744 and 3751

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

LCM of:
and

Least Common Multiple of 3744 and 3751

LCM of 3744 and 3751 is 14043744

Least common multiple can be found by multiplying the highest exponent prime factors of 3744 and 3751. First we will calculate the prime factors of 3744 and 3751.

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

Prime Factorization of 3751


11 3751
11 341
31 31
1

Prime factors of 3751 are 11,31. Prime factorization of 3751 in exponential form is:

3751 = 112×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3744 and 3751.

LCM(3744,3751) = 25×32×112×131×311
LCM(3744,3751) = 14043744

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

Factors of 3751

List of positive integer factors of 3751 that divides 3751 without a remainder.

1, 11, 31, 121, 341, 3751

Least Common Multiple of 3744 and 3751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3744 and 3751, than apply into the LCM equation.

GCF(3744,3751) = 1
LCM(3744,3751) = ( 3744 × 3751) / 1
LCM(3744,3751) = 14043744 / 1
LCM(3744,3751) = 14043744

Properties of LCM 3744 and 3751

(i) The LCM of 3751 and 3744 is associative

LCM of 3744 and 3751 = LCM of 3751 and 3744

Related Least Common Multiples of 3744

Related Least Common Multiples of 3751

Frequently Asked Questions on LCM of 3744 and 3751

1. What is the LCM of 3744 and 3751?

Answer: LCM of 3744 and 3751 is 14043744.

2. 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.

3. What are the Factors of 3751?

Answer: Factors of 3751 are 1, 11, 31, 121, 341, 3751. There are 6 integers that are factors of 3751. The greatest factor of 3751 is 3751.

4. How to Find the LCM of 3744 and 3751?

Answer:

Least Common Multiple of 3744 and 3751 = 14043744

Step 1: Find the prime factorization of 3744

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

Step 2: Find the prime factorization of 3751

3751 = 11 x 11 x 31

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

LCM = 14043744 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 3744 and 3751 is 14043744.