Least Common Multiple of 771 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 771 and 778 the smallest integer that is 599838 that is divisible by both numbers.

Least Common Multiple (LCM) of 771 and 778 is 599838.

LCM(771,778) = 599838

LCM of 771 and 778

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

LCM of:
and

Least Common Multiple of 771 and 778

LCM of 771 and 778 is 599838

Least common multiple can be found by multiplying the highest exponent prime factors of 771 and 778. First we will calculate the prime factors of 771 and 778.

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 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 771 and 778.

LCM(771,778) = 21×31×2571×3891
LCM(771,778) = 599838

Factors of 771

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

1, 3, 257, 771

Factors of 778

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

1, 2, 389, 778

Least Common Multiple of 771 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 771 and 778, than apply into the LCM equation.

GCF(771,778) = 1
LCM(771,778) = ( 771 × 778) / 1
LCM(771,778) = 599838 / 1
LCM(771,778) = 599838

Properties of LCM 771 and 778

(i) The LCM of 778 and 771 is associative

LCM of 771 and 778 = LCM of 778 and 771

Related Least Common Multiples of 771

Related Least Common Multiples of 778

Frequently Asked Questions on LCM of 771 and 778

1. What is the LCM of 771 and 778?

Answer: LCM of 771 and 778 is 599838.

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 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 771 and 778?

Answer:

Least Common Multiple of 771 and 778 = 599838

Step 1: Find the prime factorization of 771

771 = 3 x 257

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 = 599838 = 2 x 3 x 257 x 389

Step 4: Therefore, the least common multiple of 771 and 778 is 599838.