Least Common Multiple of 3743 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 3743 and 3744 the smallest integer that is 14013792 that is divisible by both numbers.

Least Common Multiple (LCM) of 3743 and 3744 is 14013792.

LCM(3743,3744) = 14013792

LCM of 3743 and 3744

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

LCM of:
and

Least Common Multiple of 3743 and 3744

LCM of 3743 and 3744 is 14013792

Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3744. First we will calculate the prime factors of 3743 and 3744.

Prime Factorization of 3743


19 3743
197 197
1

Prime factors of 3743 are 19,197. Prime factorization of 3743 in exponential form is:

3743 = 191×1971

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 3743 and 3744.

LCM(3743,3744) = 25×32×131×191×1971
LCM(3743,3744) = 14013792

Factors of 3743

List of positive integer factors of 3743 that divides 3743 without a remainder.

1, 19, 197, 3743

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 3743 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 3743 and 3744, than apply into the LCM equation.

GCF(3743,3744) = 1
LCM(3743,3744) = ( 3743 × 3744) / 1
LCM(3743,3744) = 14013792 / 1
LCM(3743,3744) = 14013792

Properties of LCM 3743 and 3744

(i) The LCM of 3744 and 3743 is associative

LCM of 3743 and 3744 = LCM of 3744 and 3743

Related Least Common Multiples of 3743

Related Least Common Multiples of 3744

Frequently Asked Questions on LCM of 3743 and 3744

1. What is the LCM of 3743 and 3744?

Answer: LCM of 3743 and 3744 is 14013792.

2. What are the Factors of 3743?

Answer: Factors of 3743 are 1, 19, 197, 3743. There are 4 integers that are factors of 3743. The greatest factor of 3743 is 3743.

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 3743 and 3744?

Answer:

Least Common Multiple of 3743 and 3744 = 14013792

Step 1: Find the prime factorization of 3743

3743 = 19 x 197

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 = 14013792 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19 x 197

Step 4: Therefore, the least common multiple of 3743 and 3744 is 14013792.