Least Common Multiple of 766 and 773

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 773 the smallest integer that is 592118 that is divisible by both numbers.

Least Common Multiple (LCM) of 766 and 773 is 592118.

LCM(766,773) = 592118

LCM of 766 and 773

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

LCM of:
and

Least Common Multiple of 766 and 773

LCM of 766 and 773 is 592118

Least common multiple can be found by multiplying the highest exponent prime factors of 766 and 773. First we will calculate the prime factors of 766 and 773.

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 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 766 and 773.

LCM(766,773) = 21×3831×7731
LCM(766,773) = 592118

Factors of 766

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

1, 2, 383, 766

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Least Common Multiple of 766 and 773 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 773, than apply into the LCM equation.

GCF(766,773) = 1
LCM(766,773) = ( 766 × 773) / 1
LCM(766,773) = 592118 / 1
LCM(766,773) = 592118

Properties of LCM 766 and 773

(i) The LCM of 773 and 766 is associative

LCM of 766 and 773 = LCM of 773 and 766

Related Least Common Multiples of 766

Related Least Common Multiples of 773

Frequently Asked Questions on LCM of 766 and 773

1. What is the LCM of 766 and 773?

Answer: LCM of 766 and 773 is 592118.

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 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

4. How to Find the LCM of 766 and 773?

Answer:

Least Common Multiple of 766 and 773 = 592118

Step 1: Find the prime factorization of 766

766 = 2 x 383

Step 2: Find the prime factorization of 773

773 = 773

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

LCM = 592118 = 2 x 383 x 773

Step 4: Therefore, the least common multiple of 766 and 773 is 592118.