Least Common Multiple of 776 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 776 and 778 the smallest integer that is 301864 that is divisible by both numbers.

Least Common Multiple (LCM) of 776 and 778 is 301864.

LCM(776,778) = 301864

LCM of 776 and 778

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

LCM of:
and

Least Common Multiple of 776 and 778

LCM of 776 and 778 is 301864

Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 778. First we will calculate the prime factors of 776 and 778.

Prime Factorization of 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

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 776 and 778.

LCM(776,778) = 23×971×3891
LCM(776,778) = 301864

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Factors of 778

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

1, 2, 389, 778

Least Common Multiple of 776 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 776 and 778, than apply into the LCM equation.

GCF(776,778) = 2
LCM(776,778) = ( 776 × 778) / 2
LCM(776,778) = 603728 / 2
LCM(776,778) = 301864

Properties of LCM 776 and 778

(i) The LCM of 778 and 776 is associative

LCM of 776 and 778 = LCM of 778 and 776

Related Least Common Multiples of 776

Related Least Common Multiples of 778

Frequently Asked Questions on LCM of 776 and 778

1. What is the LCM of 776 and 778?

Answer: LCM of 776 and 778 is 301864.

2. What are the Factors of 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

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 776 and 778?

Answer:

Least Common Multiple of 776 and 778 = 301864

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 = 301864 = 2 x 2 x 2 x 97 x 389

Step 4: Therefore, the least common multiple of 776 and 778 is 301864.