Least Common Multiple of 1745 and 1752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1745 and 1752 the smallest integer that is 3057240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1745 and 1752 is 3057240.

LCM(1745,1752) = 3057240

LCM of 1745 and 1752

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

LCM of:
and

Least Common Multiple of 1745 and 1752

LCM of 1745 and 1752 is 3057240

Least common multiple can be found by multiplying the highest exponent prime factors of 1745 and 1752. First we will calculate the prime factors of 1745 and 1752.

Prime Factorization of 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1745 and 1752.

LCM(1745,1752) = 23×31×51×731×3491
LCM(1745,1752) = 3057240

Factors of 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1, 5, 349, 1745

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

Least Common Multiple of 1745 and 1752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1745 and 1752, than apply into the LCM equation.

GCF(1745,1752) = 1
LCM(1745,1752) = ( 1745 × 1752) / 1
LCM(1745,1752) = 3057240 / 1
LCM(1745,1752) = 3057240

Properties of LCM 1745 and 1752

(i) The LCM of 1752 and 1745 is associative

LCM of 1745 and 1752 = LCM of 1752 and 1745

Related Least Common Multiples of 1745

Related Least Common Multiples of 1752

Frequently Asked Questions on LCM of 1745 and 1752

1. What is the LCM of 1745 and 1752?

Answer: LCM of 1745 and 1752 is 3057240.

2. What are the Factors of 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

3. 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.

4. How to Find the LCM of 1745 and 1752?

Answer:

Least Common Multiple of 1745 and 1752 = 3057240

Step 1: Find the prime factorization of 1745

1745 = 5 x 349

Step 2: Find the prime factorization of 1752

1752 = 2 x 2 x 2 x 3 x 73

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

LCM = 3057240 = 2 x 2 x 2 x 3 x 5 x 73 x 349

Step 4: Therefore, the least common multiple of 1745 and 1752 is 3057240.