Least Common Multiple of 757 and 765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 757 and 765 the smallest integer that is 579105 that is divisible by both numbers.

Least Common Multiple (LCM) of 757 and 765 is 579105.

LCM(757,765) = 579105

LCM of 757 and 765

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

LCM of:
and

Least Common Multiple of 757 and 765

LCM of 757 and 765 is 579105

Least common multiple can be found by multiplying the highest exponent prime factors of 757 and 765. First we will calculate the prime factors of 757 and 765.

Prime Factorization of 757


757 757
1

Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:

757 = 7571

Prime Factorization of 765


3 765
3 255
5 85
17 17
1

Prime factors of 765 are 3, 5,17. Prime factorization of 765 in exponential form is:

765 = 32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 757 and 765.

LCM(757,765) = 32×51×171×7571
LCM(757,765) = 579105

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1, 757

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Least Common Multiple of 757 and 765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 757 and 765, than apply into the LCM equation.

GCF(757,765) = 1
LCM(757,765) = ( 757 × 765) / 1
LCM(757,765) = 579105 / 1
LCM(757,765) = 579105

Properties of LCM 757 and 765

(i) The LCM of 765 and 757 is associative

LCM of 757 and 765 = LCM of 765 and 757

Related Least Common Multiples of 757

Related Least Common Multiples of 765

Frequently Asked Questions on LCM of 757 and 765

1. What is the LCM of 757 and 765?

Answer: LCM of 757 and 765 is 579105.

2. What are the Factors of 757?

Answer: Factors of 757 are 1, 757. There are 2 integers that are factors of 757. The greatest factor of 757 is 757.

3. What are the Factors of 765?

Answer: Factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. There are 12 integers that are factors of 765. The greatest factor of 765 is 765.

4. How to Find the LCM of 757 and 765?

Answer:

Least Common Multiple of 757 and 765 = 579105

Step 1: Find the prime factorization of 757

757 = 757

Step 2: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

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

LCM = 579105 = 3 x 3 x 5 x 17 x 757

Step 4: Therefore, the least common multiple of 757 and 765 is 579105.