Least Common Multiple of 772 and 778

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 778 the smallest integer that is 300308 that is divisible by both numbers.

Least Common Multiple (LCM) of 772 and 778 is 300308.

LCM(772,778) = 300308

LCM of 772 and 778

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

LCM of:
and

Least Common Multiple of 772 and 778

LCM of 772 and 778 is 300308

Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 778. First we will calculate the prime factors of 772 and 778.

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 778


2 778
389 389
1

Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:

778 = 21×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 772 and 778.

LCM(772,778) = 22×1931×3891
LCM(772,778) = 300308

Factors of 772

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

1, 2, 4, 193, 386, 772

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Least Common Multiple of 772 and 778 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 778, than apply into the LCM equation.

GCF(772,778) = 2
LCM(772,778) = ( 772 × 778) / 2
LCM(772,778) = 600616 / 2
LCM(772,778) = 300308

Properties of LCM 772 and 778

(i) The LCM of 778 and 772 is associative

LCM of 772 and 778 = LCM of 778 and 772

Related Least Common Multiples of 772

Related Least Common Multiples of 778

Frequently Asked Questions on LCM of 772 and 778

1. What is the LCM of 772 and 778?

Answer: LCM of 772 and 778 is 300308.

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 778?

Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.

4. How to Find the LCM of 772 and 778?

Answer:

Least Common Multiple of 772 and 778 = 300308

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 778

778 = 2 x 389

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

LCM = 300308 = 2 x 2 x 193 x 389

Step 4: Therefore, the least common multiple of 772 and 778 is 300308.