Least Common Multiple of 1761 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 1761 and 1765 the smallest integer that is 3108165 that is divisible by both numbers.

Least Common Multiple (LCM) of 1761 and 1765 is 3108165.

LCM(1761,1765) = 3108165

LCM of 1761 and 1765

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

LCM of:
and

Least Common Multiple of 1761 and 1765

LCM of 1761 and 1765 is 3108165

Least common multiple can be found by multiplying the highest exponent prime factors of 1761 and 1765. First we will calculate the prime factors of 1761 and 1765.

Prime Factorization of 1761


3 1761
587 587
1

Prime factors of 1761 are 3,587. Prime factorization of 1761 in exponential form is:

1761 = 31×5871

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 1761 and 1765.

LCM(1761,1765) = 31×51×3531×5871
LCM(1761,1765) = 3108165

Factors of 1761

List of positive integer factors of 1761 that divides 1761 without a remainder.

1, 3, 587, 1761

Factors of 1765

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

1, 5, 353, 1765

Least Common Multiple of 1761 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 1761 and 1765, than apply into the LCM equation.

GCF(1761,1765) = 1
LCM(1761,1765) = ( 1761 × 1765) / 1
LCM(1761,1765) = 3108165 / 1
LCM(1761,1765) = 3108165

Properties of LCM 1761 and 1765

(i) The LCM of 1765 and 1761 is associative

LCM of 1761 and 1765 = LCM of 1765 and 1761

Related Least Common Multiples of 1761

Related Least Common Multiples of 1765

Frequently Asked Questions on LCM of 1761 and 1765

1. What is the LCM of 1761 and 1765?

Answer: LCM of 1761 and 1765 is 3108165.

2. What are the Factors of 1761?

Answer: Factors of 1761 are 1, 3, 587, 1761. There are 4 integers that are factors of 1761. The greatest factor of 1761 is 1761.

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 1761 and 1765?

Answer:

Least Common Multiple of 1761 and 1765 = 3108165

Step 1: Find the prime factorization of 1761

1761 = 3 x 587

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 = 3108165 = 3 x 5 x 353 x 587

Step 4: Therefore, the least common multiple of 1761 and 1765 is 3108165.