Least Common Multiple of 766 and 771

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 771 the smallest integer that is 590586 that is divisible by both numbers.

Least Common Multiple (LCM) of 766 and 771 is 590586.

LCM(766,771) = 590586

LCM of 766 and 771

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

LCM of:
and

Least Common Multiple of 766 and 771

LCM of 766 and 771 is 590586

Least common multiple can be found by multiplying the highest exponent prime factors of 766 and 771. First we will calculate the prime factors of 766 and 771.

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 771


3 771
257 257
1

Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:

771 = 31×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 766 and 771.

LCM(766,771) = 21×31×2571×3831
LCM(766,771) = 590586

Factors of 766

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

1, 2, 383, 766

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Least Common Multiple of 766 and 771 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 771, than apply into the LCM equation.

GCF(766,771) = 1
LCM(766,771) = ( 766 × 771) / 1
LCM(766,771) = 590586 / 1
LCM(766,771) = 590586

Properties of LCM 766 and 771

(i) The LCM of 771 and 766 is associative

LCM of 766 and 771 = LCM of 771 and 766

Related Least Common Multiples of 766

Related Least Common Multiples of 771

Frequently Asked Questions on LCM of 766 and 771

1. What is the LCM of 766 and 771?

Answer: LCM of 766 and 771 is 590586.

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 771?

Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.

4. How to Find the LCM of 766 and 771?

Answer:

Least Common Multiple of 766 and 771 = 590586

Step 1: Find the prime factorization of 766

766 = 2 x 383

Step 2: Find the prime factorization of 771

771 = 3 x 257

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

LCM = 590586 = 2 x 3 x 257 x 383

Step 4: Therefore, the least common multiple of 766 and 771 is 590586.