Least Common Multiple of 766 and 767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 766 and 767 the smallest integer that is 587522 that is divisible by both numbers.

Least Common Multiple (LCM) of 766 and 767 is 587522.

LCM(766,767) = 587522

LCM of 766 and 767

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

LCM of:
and

Least Common Multiple of 766 and 767

LCM of 766 and 767 is 587522

Least common multiple can be found by multiplying the highest exponent prime factors of 766 and 767. First we will calculate the prime factors of 766 and 767.

Prime Factorization of 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

Prime Factorization of 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 766 and 767.

LCM(766,767) = 21×131×591×3831
LCM(766,767) = 587522

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Least Common Multiple of 766 and 767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 766 and 767, than apply into the LCM equation.

GCF(766,767) = 1
LCM(766,767) = ( 766 × 767) / 1
LCM(766,767) = 587522 / 1
LCM(766,767) = 587522

Properties of LCM 766 and 767

(i) The LCM of 767 and 766 is associative

LCM of 766 and 767 = LCM of 767 and 766

Related Least Common Multiples of 766

Related Least Common Multiples of 767

Frequently Asked Questions on LCM of 766 and 767

1. What is the LCM of 766 and 767?

Answer: LCM of 766 and 767 is 587522.

2. What are the Factors of 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

3. What are the Factors of 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

4. How to Find the LCM of 766 and 767?

Answer:

Least Common Multiple of 766 and 767 = 587522

Step 1: Find the prime factorization of 766

766 = 2 x 383

Step 2: Find the prime factorization of 767

767 = 13 x 59

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

LCM = 587522 = 2 x 13 x 59 x 383

Step 4: Therefore, the least common multiple of 766 and 767 is 587522.