Least Common Multiple of 771 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 771 and 776 the smallest integer that is 598296 that is divisible by both numbers.

Least Common Multiple (LCM) of 771 and 776 is 598296.

LCM(771,776) = 598296

LCM of 771 and 776

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

LCM of:
and

Least Common Multiple of 771 and 776

LCM of 771 and 776 is 598296

Least common multiple can be found by multiplying the highest exponent prime factors of 771 and 776. First we will calculate the prime factors of 771 and 776.

Prime Factorization of 771


3 771
257 257
1

Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:

771 = 31×2571

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 771 and 776.

LCM(771,776) = 23×31×971×2571
LCM(771,776) = 598296

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 771 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 771 and 776, than apply into the LCM equation.

GCF(771,776) = 1
LCM(771,776) = ( 771 × 776) / 1
LCM(771,776) = 598296 / 1
LCM(771,776) = 598296

Properties of LCM 771 and 776

(i) The LCM of 776 and 771 is associative

LCM of 771 and 776 = LCM of 776 and 771

Related Least Common Multiples of 771

Related Least Common Multiples of 776

Frequently Asked Questions on LCM of 771 and 776

1. What is the LCM of 771 and 776?

Answer: LCM of 771 and 776 is 598296.

2. What are the Factors of 771?

Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.

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 771 and 776?

Answer:

Least Common Multiple of 771 and 776 = 598296

Step 1: Find the prime factorization of 771

771 = 3 x 257

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 = 598296 = 2 x 2 x 2 x 3 x 97 x 257

Step 4: Therefore, the least common multiple of 771 and 776 is 598296.