Least Common Multiple of 772 and 774

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 774 the smallest integer that is 298764 that is divisible by both numbers.

Least Common Multiple (LCM) of 772 and 774 is 298764.

LCM(772,774) = 298764

LCM of 772 and 774

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

LCM of:
and

Least Common Multiple of 772 and 774

LCM of 772 and 774 is 298764

Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 774. First we will calculate the prime factors of 772 and 774.

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 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 772 and 774.

LCM(772,774) = 22×32×431×1931
LCM(772,774) = 298764

Factors of 772

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

1, 2, 4, 193, 386, 772

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Least Common Multiple of 772 and 774 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 774, than apply into the LCM equation.

GCF(772,774) = 2
LCM(772,774) = ( 772 × 774) / 2
LCM(772,774) = 597528 / 2
LCM(772,774) = 298764

Properties of LCM 772 and 774

(i) The LCM of 774 and 772 is associative

LCM of 772 and 774 = LCM of 774 and 772

Related Least Common Multiples of 772

Related Least Common Multiples of 774

Frequently Asked Questions on LCM of 772 and 774

1. What is the LCM of 772 and 774?

Answer: LCM of 772 and 774 is 298764.

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 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

4. How to Find the LCM of 772 and 774?

Answer:

Least Common Multiple of 772 and 774 = 298764

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

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

LCM = 298764 = 2 x 2 x 3 x 3 x 43 x 193

Step 4: Therefore, the least common multiple of 772 and 774 is 298764.