Least Common Multiple of 1758 and 1765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1758 and 1765 the smallest integer that is 3102870 that is divisible by both numbers.

Least Common Multiple (LCM) of 1758 and 1765 is 3102870.

LCM(1758,1765) = 3102870

LCM of 1758 and 1765

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

LCM of:
and

Least Common Multiple of 1758 and 1765

LCM of 1758 and 1765 is 3102870

Least common multiple can be found by multiplying the highest exponent prime factors of 1758 and 1765. First we will calculate the prime factors of 1758 and 1765.

Prime Factorization of 1758


2 1758
3 879
293 293
1

Prime factors of 1758 are 2, 3,293. Prime factorization of 1758 in exponential form is:

1758 = 21×31×2931

Prime Factorization of 1765


5 1765
353 353
1

Prime factors of 1765 are 5,353. Prime factorization of 1765 in exponential form is:

1765 = 51×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 1758 and 1765.

LCM(1758,1765) = 21×31×51×2931×3531
LCM(1758,1765) = 3102870

Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1, 2, 3, 6, 293, 586, 879, 1758

Factors of 1765

List of positive integer factors of 1765 that divides 1765 without a remainder.

1, 5, 353, 1765

Least Common Multiple of 1758 and 1765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1758 and 1765, than apply into the LCM equation.

GCF(1758,1765) = 1
LCM(1758,1765) = ( 1758 × 1765) / 1
LCM(1758,1765) = 3102870 / 1
LCM(1758,1765) = 3102870

Properties of LCM 1758 and 1765

(i) The LCM of 1765 and 1758 is associative

LCM of 1758 and 1765 = LCM of 1765 and 1758

Related Least Common Multiples of 1758

Related Least Common Multiples of 1765

Frequently Asked Questions on LCM of 1758 and 1765

1. What is the LCM of 1758 and 1765?

Answer: LCM of 1758 and 1765 is 3102870.

2. What are the Factors of 1758?

Answer: Factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758. There are 8 integers that are factors of 1758. The greatest factor of 1758 is 1758.

3. What are the Factors of 1765?

Answer: Factors of 1765 are 1, 5, 353, 1765. There are 4 integers that are factors of 1765. The greatest factor of 1765 is 1765.

4. How to Find the LCM of 1758 and 1765?

Answer:

Least Common Multiple of 1758 and 1765 = 3102870

Step 1: Find the prime factorization of 1758

1758 = 2 x 3 x 293

Step 2: Find the prime factorization of 1765

1765 = 5 x 353

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

LCM = 3102870 = 2 x 3 x 5 x 293 x 353

Step 4: Therefore, the least common multiple of 1758 and 1765 is 3102870.