Least Common Multiple of 3744 and 3748

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 3748 the smallest integer that is 3508128 that is divisible by both numbers.

Least Common Multiple (LCM) of 3744 and 3748 is 3508128.

LCM(3744,3748) = 3508128

LCM of 3744 and 3748

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

LCM of:
and

Least Common Multiple of 3744 and 3748

LCM of 3744 and 3748 is 3508128

Least common multiple can be found by multiplying the highest exponent prime factors of 3744 and 3748. First we will calculate the prime factors of 3744 and 3748.

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 3748


2 3748
2 1874
937 937
1

Prime factors of 3748 are 2,937. Prime factorization of 3748 in exponential form is:

3748 = 22×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 3744 and 3748.

LCM(3744,3748) = 25×32×131×9371
LCM(3744,3748) = 3508128

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 3748

List of positive integer factors of 3748 that divides 3748 without a remainder.

1, 2, 4, 937, 1874, 3748

Least Common Multiple of 3744 and 3748 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 3748, than apply into the LCM equation.

GCF(3744,3748) = 4
LCM(3744,3748) = ( 3744 × 3748) / 4
LCM(3744,3748) = 14032512 / 4
LCM(3744,3748) = 3508128

Properties of LCM 3744 and 3748

(i) The LCM of 3748 and 3744 is associative

LCM of 3744 and 3748 = LCM of 3748 and 3744

Related Least Common Multiples of 3744

Related Least Common Multiples of 3748

Frequently Asked Questions on LCM of 3744 and 3748

1. What is the LCM of 3744 and 3748?

Answer: LCM of 3744 and 3748 is 3508128.

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 3748?

Answer: Factors of 3748 are 1, 2, 4, 937, 1874, 3748. There are 6 integers that are factors of 3748. The greatest factor of 3748 is 3748.

4. How to Find the LCM of 3744 and 3748?

Answer:

Least Common Multiple of 3744 and 3748 = 3508128

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 3748

3748 = 2 x 2 x 937

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

LCM = 3508128 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 937

Step 4: Therefore, the least common multiple of 3744 and 3748 is 3508128.