Least Common Multiple of 3752 and 3759

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 3759 the smallest integer that is 2014824 that is divisible by both numbers.

Least Common Multiple (LCM) of 3752 and 3759 is 2014824.

LCM(3752,3759) = 2014824

LCM of 3752 and 3759

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

LCM of:
and

Least Common Multiple of 3752 and 3759

LCM of 3752 and 3759 is 2014824

Least common multiple can be found by multiplying the highest exponent prime factors of 3752 and 3759. First we will calculate the prime factors of 3752 and 3759.

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 3759


3 3759
7 1253
179 179
1

Prime factors of 3759 are 3, 7,179. Prime factorization of 3759 in exponential form is:

3759 = 31×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3752 and 3759.

LCM(3752,3759) = 23×31×71×671×1791
LCM(3752,3759) = 2014824

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 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1, 3, 7, 21, 179, 537, 1253, 3759

Least Common Multiple of 3752 and 3759 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 3759, than apply into the LCM equation.

GCF(3752,3759) = 7
LCM(3752,3759) = ( 3752 × 3759) / 7
LCM(3752,3759) = 14103768 / 7
LCM(3752,3759) = 2014824

Properties of LCM 3752 and 3759

(i) The LCM of 3759 and 3752 is associative

LCM of 3752 and 3759 = LCM of 3759 and 3752

Related Least Common Multiples of 3752

Related Least Common Multiples of 3759

Frequently Asked Questions on LCM of 3752 and 3759

1. What is the LCM of 3752 and 3759?

Answer: LCM of 3752 and 3759 is 2014824.

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 3759?

Answer: Factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759. There are 8 integers that are factors of 3759. The greatest factor of 3759 is 3759.

4. How to Find the LCM of 3752 and 3759?

Answer:

Least Common Multiple of 3752 and 3759 = 2014824

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 3759

3759 = 3 x 7 x 179

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

LCM = 2014824 = 2 x 2 x 2 x 3 x 7 x 67 x 179

Step 4: Therefore, the least common multiple of 3752 and 3759 is 2014824.