Least Common Multiple of 1752 and 1759

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 1759 the smallest integer that is 3081768 that is divisible by both numbers.

Least Common Multiple (LCM) of 1752 and 1759 is 3081768.

LCM(1752,1759) = 3081768

LCM of 1752 and 1759

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

LCM of:
and

Least Common Multiple of 1752 and 1759

LCM of 1752 and 1759 is 3081768

Least common multiple can be found by multiplying the highest exponent prime factors of 1752 and 1759. First we will calculate the prime factors of 1752 and 1759.

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 1759


1759 1759
1

Prime factors of 1759 are 1759. Prime factorization of 1759 in exponential form is:

1759 = 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 1752 and 1759.

LCM(1752,1759) = 23×31×731×17591
LCM(1752,1759) = 3081768

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 1759

List of positive integer factors of 1759 that divides 1759 without a remainder.

1, 1759

Least Common Multiple of 1752 and 1759 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 1759, than apply into the LCM equation.

GCF(1752,1759) = 1
LCM(1752,1759) = ( 1752 × 1759) / 1
LCM(1752,1759) = 3081768 / 1
LCM(1752,1759) = 3081768

Properties of LCM 1752 and 1759

(i) The LCM of 1759 and 1752 is associative

LCM of 1752 and 1759 = LCM of 1759 and 1752

Related Least Common Multiples of 1752

Related Least Common Multiples of 1759

Frequently Asked Questions on LCM of 1752 and 1759

1. What is the LCM of 1752 and 1759?

Answer: LCM of 1752 and 1759 is 3081768.

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 1759?

Answer: Factors of 1759 are 1, 1759. There are 2 integers that are factors of 1759. The greatest factor of 1759 is 1759.

4. How to Find the LCM of 1752 and 1759?

Answer:

Least Common Multiple of 1752 and 1759 = 3081768

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 1759

1759 = 1759

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

LCM = 3081768 = 2 x 2 x 2 x 3 x 73 x 1759

Step 4: Therefore, the least common multiple of 1752 and 1759 is 3081768.