Least Common Multiple of 1765 and 1767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1765 and 1767 the smallest integer that is 3118755 that is divisible by both numbers.

Least Common Multiple (LCM) of 1765 and 1767 is 3118755.

LCM(1765,1767) = 3118755

LCM of 1765 and 1767

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

LCM of:
and

Least Common Multiple of 1765 and 1767

LCM of 1765 and 1767 is 3118755

Least common multiple can be found by multiplying the highest exponent prime factors of 1765 and 1767. First we will calculate the prime factors of 1765 and 1767.

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

Prime Factorization of 1767


3 1767
19 589
31 31
1

Prime factors of 1767 are 3, 19,31. Prime factorization of 1767 in exponential form is:

1767 = 31×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1765 and 1767.

LCM(1765,1767) = 31×51×191×311×3531
LCM(1765,1767) = 3118755

Factors of 1765

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

1, 5, 353, 1765

Factors of 1767

List of positive integer factors of 1767 that divides 1767 without a remainder.

1, 3, 19, 31, 57, 93, 589, 1767

Least Common Multiple of 1765 and 1767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1765 and 1767, than apply into the LCM equation.

GCF(1765,1767) = 1
LCM(1765,1767) = ( 1765 × 1767) / 1
LCM(1765,1767) = 3118755 / 1
LCM(1765,1767) = 3118755

Properties of LCM 1765 and 1767

(i) The LCM of 1767 and 1765 is associative

LCM of 1765 and 1767 = LCM of 1767 and 1765

Related Least Common Multiples of 1765

Related Least Common Multiples of 1767

Frequently Asked Questions on LCM of 1765 and 1767

1. What is the LCM of 1765 and 1767?

Answer: LCM of 1765 and 1767 is 3118755.

2. 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.

3. What are the Factors of 1767?

Answer: Factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767. There are 8 integers that are factors of 1767. The greatest factor of 1767 is 1767.

4. How to Find the LCM of 1765 and 1767?

Answer:

Least Common Multiple of 1765 and 1767 = 3118755

Step 1: Find the prime factorization of 1765

1765 = 5 x 353

Step 2: Find the prime factorization of 1767

1767 = 3 x 19 x 31

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

LCM = 3118755 = 3 x 5 x 19 x 31 x 353

Step 4: Therefore, the least common multiple of 1765 and 1767 is 3118755.