Least Common Multiple of 766 and 772

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 772 the smallest integer that is 295676 that is divisible by both numbers.

Least Common Multiple (LCM) of 766 and 772 is 295676.

LCM(766,772) = 295676

LCM of 766 and 772

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

LCM of:
and

Least Common Multiple of 766 and 772

LCM of 766 and 772 is 295676

Least common multiple can be found by multiplying the highest exponent prime factors of 766 and 772. First we will calculate the prime factors of 766 and 772.

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 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 766 and 772.

LCM(766,772) = 22×1931×3831
LCM(766,772) = 295676

Factors of 766

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

1, 2, 383, 766

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Least Common Multiple of 766 and 772 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 772, than apply into the LCM equation.

GCF(766,772) = 2
LCM(766,772) = ( 766 × 772) / 2
LCM(766,772) = 591352 / 2
LCM(766,772) = 295676

Properties of LCM 766 and 772

(i) The LCM of 772 and 766 is associative

LCM of 766 and 772 = LCM of 772 and 766

Related Least Common Multiples of 766

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 766 and 772

1. What is the LCM of 766 and 772?

Answer: LCM of 766 and 772 is 295676.

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 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the LCM of 766 and 772?

Answer:

Least Common Multiple of 766 and 772 = 295676

Step 1: Find the prime factorization of 766

766 = 2 x 383

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

LCM = 295676 = 2 x 2 x 193 x 383

Step 4: Therefore, the least common multiple of 766 and 772 is 295676.