Least Common Multiple of 1752 and 1756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1752 and 1756 the smallest integer that is 769128 that is divisible by both numbers.

Least Common Multiple (LCM) of 1752 and 1756 is 769128.

LCM(1752,1756) = 769128

LCM of 1752 and 1756

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

LCM of:
and

Least Common Multiple of 1752 and 1756

LCM of 1752 and 1756 is 769128

Least common multiple can be found by multiplying the highest exponent prime factors of 1752 and 1756. First we will calculate the prime factors of 1752 and 1756.

Prime Factorization of 1752


2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 1752 are 2, 3,73. Prime factorization of 1752 in exponential form is:

1752 = 23×31×731

Prime Factorization of 1756


2 1756
2 878
439 439
1

Prime factors of 1756 are 2,439. Prime factorization of 1756 in exponential form is:

1756 = 22×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 1752 and 1756.

LCM(1752,1756) = 23×31×731×4391
LCM(1752,1756) = 769128

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752

Factors of 1756

List of positive integer factors of 1756 that divides 1756 without a remainder.

1, 2, 4, 439, 878, 1756

Least Common Multiple of 1752 and 1756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1752 and 1756, than apply into the LCM equation.

GCF(1752,1756) = 4
LCM(1752,1756) = ( 1752 × 1756) / 4
LCM(1752,1756) = 3076512 / 4
LCM(1752,1756) = 769128

Properties of LCM 1752 and 1756

(i) The LCM of 1756 and 1752 is associative

LCM of 1752 and 1756 = LCM of 1756 and 1752

Related Least Common Multiples of 1752

Related Least Common Multiples of 1756

Frequently Asked Questions on LCM of 1752 and 1756

1. What is the LCM of 1752 and 1756?

Answer: LCM of 1752 and 1756 is 769128.

2. What are the Factors of 1752?

Answer: Factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752. There are 16 integers that are factors of 1752. The greatest factor of 1752 is 1752.

3. What are the Factors of 1756?

Answer: Factors of 1756 are 1, 2, 4, 439, 878, 1756. There are 6 integers that are factors of 1756. The greatest factor of 1756 is 1756.

4. How to Find the LCM of 1752 and 1756?

Answer:

Least Common Multiple of 1752 and 1756 = 769128

Step 1: Find the prime factorization of 1752

1752 = 2 x 2 x 2 x 3 x 73

Step 2: Find the prime factorization of 1756

1756 = 2 x 2 x 439

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

LCM = 769128 = 2 x 2 x 2 x 3 x 73 x 439

Step 4: Therefore, the least common multiple of 1752 and 1756 is 769128.