Least Common Multiple of 3748 and 3753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3748 and 3753 the smallest integer that is 14066244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3748 and 3753 is 14066244.

LCM(3748,3753) = 14066244

LCM of 3748 and 3753

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

LCM of:
and

Least Common Multiple of 3748 and 3753

LCM of 3748 and 3753 is 14066244

Least common multiple can be found by multiplying the highest exponent prime factors of 3748 and 3753. First we will calculate the prime factors of 3748 and 3753.

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

Prime Factorization of 3753


3 3753
3 1251
3 417
139 139
1

Prime factors of 3753 are 3,139. Prime factorization of 3753 in exponential form is:

3753 = 33×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3748 and 3753.

LCM(3748,3753) = 22×33×1391×9371
LCM(3748,3753) = 14066244

Factors of 3748

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

1, 2, 4, 937, 1874, 3748

Factors of 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1, 3, 9, 27, 139, 417, 1251, 3753

Least Common Multiple of 3748 and 3753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3748 and 3753, than apply into the LCM equation.

GCF(3748,3753) = 1
LCM(3748,3753) = ( 3748 × 3753) / 1
LCM(3748,3753) = 14066244 / 1
LCM(3748,3753) = 14066244

Properties of LCM 3748 and 3753

(i) The LCM of 3753 and 3748 is associative

LCM of 3748 and 3753 = LCM of 3753 and 3748

Related Least Common Multiples of 3748

Related Least Common Multiples of 3753

Frequently Asked Questions on LCM of 3748 and 3753

1. What is the LCM of 3748 and 3753?

Answer: LCM of 3748 and 3753 is 14066244.

2. 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.

3. What are the Factors of 3753?

Answer: Factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753. There are 8 integers that are factors of 3753. The greatest factor of 3753 is 3753.

4. How to Find the LCM of 3748 and 3753?

Answer:

Least Common Multiple of 3748 and 3753 = 14066244

Step 1: Find the prime factorization of 3748

3748 = 2 x 2 x 937

Step 2: Find the prime factorization of 3753

3753 = 3 x 3 x 3 x 139

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

LCM = 14066244 = 2 x 2 x 3 x 3 x 3 x 139 x 937

Step 4: Therefore, the least common multiple of 3748 and 3753 is 14066244.