Least Common Multiple of 3752 and 3758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3752 and 3758 the smallest integer that is 7050008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3752 and 3758 is 7050008.

LCM(3752,3758) = 7050008

LCM of 3752 and 3758

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

LCM of:
and

Least Common Multiple of 3752 and 3758

LCM of 3752 and 3758 is 7050008

Least common multiple can be found by multiplying the highest exponent prime factors of 3752 and 3758. First we will calculate the prime factors of 3752 and 3758.

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

Prime Factorization of 3758


2 3758
1879 1879
1

Prime factors of 3758 are 2,1879. Prime factorization of 3758 in exponential form is:

3758 = 21×18791

Now multiplying the highest exponent prime factors to calculate the LCM of 3752 and 3758.

LCM(3752,3758) = 23×71×671×18791
LCM(3752,3758) = 7050008

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

Factors of 3758

List of positive integer factors of 3758 that divides 3758 without a remainder.

1, 2, 1879, 3758

Least Common Multiple of 3752 and 3758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3752 and 3758, than apply into the LCM equation.

GCF(3752,3758) = 2
LCM(3752,3758) = ( 3752 × 3758) / 2
LCM(3752,3758) = 14100016 / 2
LCM(3752,3758) = 7050008

Properties of LCM 3752 and 3758

(i) The LCM of 3758 and 3752 is associative

LCM of 3752 and 3758 = LCM of 3758 and 3752

Related Least Common Multiples of 3752

Related Least Common Multiples of 3758

Frequently Asked Questions on LCM of 3752 and 3758

1. What is the LCM of 3752 and 3758?

Answer: LCM of 3752 and 3758 is 7050008.

2. 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.

3. What are the Factors of 3758?

Answer: Factors of 3758 are 1, 2, 1879, 3758. There are 4 integers that are factors of 3758. The greatest factor of 3758 is 3758.

4. How to Find the LCM of 3752 and 3758?

Answer:

Least Common Multiple of 3752 and 3758 = 7050008

Step 1: Find the prime factorization of 3752

3752 = 2 x 2 x 2 x 7 x 67

Step 2: Find the prime factorization of 3758

3758 = 2 x 1879

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

LCM = 7050008 = 2 x 2 x 2 x 7 x 67 x 1879

Step 4: Therefore, the least common multiple of 3752 and 3758 is 7050008.