Least Common Multiple of 772 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 772 and 773 the smallest integer that is 596756 that is divisible by both numbers.

Least Common Multiple (LCM) of 772 and 773 is 596756.

LCM(772,773) = 596756

LCM of 772 and 773

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

LCM of:
and

Least Common Multiple of 772 and 773

LCM of 772 and 773 is 596756

Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 773. First we will calculate the prime factors of 772 and 773.

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

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 772 and 773.

LCM(772,773) = 22×1931×7731
LCM(772,773) = 596756

Factors of 772

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

1, 2, 4, 193, 386, 772

Factors of 773

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

1, 773

Least Common Multiple of 772 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 772 and 773, than apply into the LCM equation.

GCF(772,773) = 1
LCM(772,773) = ( 772 × 773) / 1
LCM(772,773) = 596756 / 1
LCM(772,773) = 596756

Properties of LCM 772 and 773

(i) The LCM of 773 and 772 is associative

LCM of 772 and 773 = LCM of 773 and 772

Related Least Common Multiples of 772

Related Least Common Multiples of 773

Frequently Asked Questions on LCM of 772 and 773

1. What is the LCM of 772 and 773?

Answer: LCM of 772 and 773 is 596756.

2. 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.

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 772 and 773?

Answer:

Least Common Multiple of 772 and 773 = 596756

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

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 = 596756 = 2 x 2 x 193 x 773

Step 4: Therefore, the least common multiple of 772 and 773 is 596756.