Least Common Multiple of 3748 and 3752

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 3752 the smallest integer that is 3515624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3748 and 3752 is 3515624.

LCM(3748,3752) = 3515624

LCM of 3748 and 3752

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

LCM of:
and

Least Common Multiple of 3748 and 3752

LCM of 3748 and 3752 is 3515624

Least common multiple can be found by multiplying the highest exponent prime factors of 3748 and 3752. First we will calculate the prime factors of 3748 and 3752.

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 3752


2 3752
2 1876
2 938
7 469
67 67
1

Prime factors of 3752 are 2, 7,67. Prime factorization of 3752 in exponential form is:

3752 = 23×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3748 and 3752.

LCM(3748,3752) = 23×71×671×9371
LCM(3748,3752) = 3515624

Factors of 3748

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

1, 2, 4, 937, 1874, 3748

Factors of 3752

List of positive integer factors of 3752 that divides 3752 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752

Least Common Multiple of 3748 and 3752 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 3752, than apply into the LCM equation.

GCF(3748,3752) = 4
LCM(3748,3752) = ( 3748 × 3752) / 4
LCM(3748,3752) = 14062496 / 4
LCM(3748,3752) = 3515624

Properties of LCM 3748 and 3752

(i) The LCM of 3752 and 3748 is associative

LCM of 3748 and 3752 = LCM of 3752 and 3748

Related Least Common Multiples of 3748

Related Least Common Multiples of 3752

Frequently Asked Questions on LCM of 3748 and 3752

1. What is the LCM of 3748 and 3752?

Answer: LCM of 3748 and 3752 is 3515624.

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 3752?

Answer: Factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752. There are 16 integers that are factors of 3752. The greatest factor of 3752 is 3752.

4. How to Find the LCM of 3748 and 3752?

Answer:

Least Common Multiple of 3748 and 3752 = 3515624

Step 1: Find the prime factorization of 3748

3748 = 2 x 2 x 937

Step 2: Find the prime factorization of 3752

3752 = 2 x 2 x 2 x 7 x 67

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

LCM = 3515624 = 2 x 2 x 2 x 7 x 67 x 937

Step 4: Therefore, the least common multiple of 3748 and 3752 is 3515624.