Least Common Multiple of 774 and 776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 774 and 776 the smallest integer that is 300312 that is divisible by both numbers.

Least Common Multiple (LCM) of 774 and 776 is 300312.

LCM(774,776) = 300312

LCM of 774 and 776

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

LCM of:
and

Least Common Multiple of 774 and 776

LCM of 774 and 776 is 300312

Least common multiple can be found by multiplying the highest exponent prime factors of 774 and 776. First we will calculate the prime factors of 774 and 776.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 774 and 776.

LCM(774,776) = 23×32×431×971
LCM(774,776) = 300312

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

Factors of 776

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

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

Least Common Multiple of 774 and 776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 774 and 776, than apply into the LCM equation.

GCF(774,776) = 2
LCM(774,776) = ( 774 × 776) / 2
LCM(774,776) = 600624 / 2
LCM(774,776) = 300312

Properties of LCM 774 and 776

(i) The LCM of 776 and 774 is associative

LCM of 774 and 776 = LCM of 776 and 774

Related Least Common Multiples of 774

Related Least Common Multiples of 776

Frequently Asked Questions on LCM of 774 and 776

1. What is the LCM of 774 and 776?

Answer: LCM of 774 and 776 is 300312.

2. 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.

3. 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.

4. How to Find the LCM of 774 and 776?

Answer:

Least Common Multiple of 774 and 776 = 300312

Step 1: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

Step 2: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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

LCM = 300312 = 2 x 2 x 2 x 3 x 3 x 43 x 97

Step 4: Therefore, the least common multiple of 774 and 776 is 300312.