Least Common Multiple of 761 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 761 and 765 the smallest integer that is 582165 that is divisible by both numbers.

Least Common Multiple (LCM) of 761 and 765 is 582165.

LCM(761,765) = 582165

LCM of 761 and 765

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

LCM of:
and

Least Common Multiple of 761 and 765

LCM of 761 and 765 is 582165

Least common multiple can be found by multiplying the highest exponent prime factors of 761 and 765. First we will calculate the prime factors of 761 and 765.

Prime Factorization of 761


761 761
1

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 7611

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 761 and 765.

LCM(761,765) = 32×51×171×7611
LCM(761,765) = 582165

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1, 761

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 761 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 761 and 765, than apply into the LCM equation.

GCF(761,765) = 1
LCM(761,765) = ( 761 × 765) / 1
LCM(761,765) = 582165 / 1
LCM(761,765) = 582165

Properties of LCM 761 and 765

(i) The LCM of 765 and 761 is associative

LCM of 761 and 765 = LCM of 765 and 761

Related Least Common Multiples of 761

Related Least Common Multiples of 765

Frequently Asked Questions on LCM of 761 and 765

1. What is the LCM of 761 and 765?

Answer: LCM of 761 and 765 is 582165.

2. What are the Factors of 761?

Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.

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 761 and 765?

Answer:

Least Common Multiple of 761 and 765 = 582165

Step 1: Find the prime factorization of 761

761 = 761

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 = 582165 = 3 x 3 x 5 x 17 x 761

Step 4: Therefore, the least common multiple of 761 and 765 is 582165.