Least Common Multiple of 762 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 762 and 765 the smallest integer that is 194310 that is divisible by both numbers.

Least Common Multiple (LCM) of 762 and 765 is 194310.

LCM(762,765) = 194310

LCM of 762 and 765

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

LCM of:
and

Least Common Multiple of 762 and 765

LCM of 762 and 765 is 194310

Least common multiple can be found by multiplying the highest exponent prime factors of 762 and 765. First we will calculate the prime factors of 762 and 765.

Prime Factorization of 762


2 762
3 381
127 127
1

Prime factors of 762 are 2, 3,127. Prime factorization of 762 in exponential form is:

762 = 21×31×1271

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 762 and 765.

LCM(762,765) = 21×32×51×171×1271
LCM(762,765) = 194310

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

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 762 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 762 and 765, than apply into the LCM equation.

GCF(762,765) = 3
LCM(762,765) = ( 762 × 765) / 3
LCM(762,765) = 582930 / 3
LCM(762,765) = 194310

Properties of LCM 762 and 765

(i) The LCM of 765 and 762 is associative

LCM of 762 and 765 = LCM of 765 and 762

Related Least Common Multiples of 762

Related Least Common Multiples of 765

Frequently Asked Questions on LCM of 762 and 765

1. What is the LCM of 762 and 765?

Answer: LCM of 762 and 765 is 194310.

2. What are the Factors of 762?

Answer: Factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762. There are 8 integers that are factors of 762. The greatest factor of 762 is 762.

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 762 and 765?

Answer:

Least Common Multiple of 762 and 765 = 194310

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

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 = 194310 = 2 x 3 x 3 x 5 x 17 x 127

Step 4: Therefore, the least common multiple of 762 and 765 is 194310.