Least Common Multiple of 772 and 775

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 775 the smallest integer that is 598300 that is divisible by both numbers.

Least Common Multiple (LCM) of 772 and 775 is 598300.

LCM(772,775) = 598300

LCM of 772 and 775

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

LCM of:
and

Least Common Multiple of 772 and 775

LCM of 772 and 775 is 598300

Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 775. First we will calculate the prime factors of 772 and 775.

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 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 772 and 775.

LCM(772,775) = 22×52×311×1931
LCM(772,775) = 598300

Factors of 772

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

1, 2, 4, 193, 386, 772

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Least Common Multiple of 772 and 775 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 775, than apply into the LCM equation.

GCF(772,775) = 1
LCM(772,775) = ( 772 × 775) / 1
LCM(772,775) = 598300 / 1
LCM(772,775) = 598300

Properties of LCM 772 and 775

(i) The LCM of 775 and 772 is associative

LCM of 772 and 775 = LCM of 775 and 772

Related Least Common Multiples of 772

Related Least Common Multiples of 775

Frequently Asked Questions on LCM of 772 and 775

1. What is the LCM of 772 and 775?

Answer: LCM of 772 and 775 is 598300.

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 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

4. How to Find the LCM of 772 and 775?

Answer:

Least Common Multiple of 772 and 775 = 598300

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 775

775 = 5 x 5 x 31

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

LCM = 598300 = 2 x 2 x 5 x 5 x 31 x 193

Step 4: Therefore, the least common multiple of 772 and 775 is 598300.