Least Common Multiple of 773 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 773 and 778 the smallest integer that is 601394 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 778 is 601394.

LCM(773,778) = 601394

LCM of 773 and 778

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

LCM of:
and

Least Common Multiple of 773 and 778

LCM of 773 and 778 is 601394

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 778. First we will calculate the prime factors of 773 and 778.

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

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 773 and 778.

LCM(773,778) = 21×3891×7731
LCM(773,778) = 601394

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Factors of 778

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

1, 2, 389, 778

Least Common Multiple of 773 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 773 and 778, than apply into the LCM equation.

GCF(773,778) = 1
LCM(773,778) = ( 773 × 778) / 1
LCM(773,778) = 601394 / 1
LCM(773,778) = 601394

Properties of LCM 773 and 778

(i) The LCM of 778 and 773 is associative

LCM of 773 and 778 = LCM of 778 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 778

Frequently Asked Questions on LCM of 773 and 778

1. What is the LCM of 773 and 778?

Answer: LCM of 773 and 778 is 601394.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

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 773 and 778?

Answer:

Least Common Multiple of 773 and 778 = 601394

Step 1: Find the prime factorization of 773

773 = 773

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 = 601394 = 2 x 389 x 773

Step 4: Therefore, the least common multiple of 773 and 778 is 601394.