Least Common Multiple of 7773 and 7778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7773 and 7778 the smallest integer that is 60458394 that is divisible by both numbers.

Least Common Multiple (LCM) of 7773 and 7778 is 60458394.

LCM(7773,7778) = 60458394

LCM of 7773 and 7778

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

LCM of:
and

Least Common Multiple of 7773 and 7778

LCM of 7773 and 7778 is 60458394

Least common multiple can be found by multiplying the highest exponent prime factors of 7773 and 7778. First we will calculate the prime factors of 7773 and 7778.

Prime Factorization of 7773


3 7773
2591 2591
1

Prime factors of 7773 are 3,2591. Prime factorization of 7773 in exponential form is:

7773 = 31×25911

Prime Factorization of 7778


2 7778
3889 3889
1

Prime factors of 7778 are 2,3889. Prime factorization of 7778 in exponential form is:

7778 = 21×38891

Now multiplying the highest exponent prime factors to calculate the LCM of 7773 and 7778.

LCM(7773,7778) = 21×31×25911×38891
LCM(7773,7778) = 60458394

Factors of 7773

List of positive integer factors of 7773 that divides 7773 without a remainder.

1, 3, 2591, 7773

Factors of 7778

List of positive integer factors of 7778 that divides 7778 without a remainder.

1, 2, 3889, 7778

Least Common Multiple of 7773 and 7778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7773 and 7778, than apply into the LCM equation.

GCF(7773,7778) = 1
LCM(7773,7778) = ( 7773 × 7778) / 1
LCM(7773,7778) = 60458394 / 1
LCM(7773,7778) = 60458394

Properties of LCM 7773 and 7778

(i) The LCM of 7778 and 7773 is associative

LCM of 7773 and 7778 = LCM of 7778 and 7773

Related Least Common Multiples of 7773

Related Least Common Multiples of 7778

Frequently Asked Questions on LCM of 7773 and 7778

1. What is the LCM of 7773 and 7778?

Answer: LCM of 7773 and 7778 is 60458394.

2. What are the Factors of 7773?

Answer: Factors of 7773 are 1, 3, 2591, 7773. There are 4 integers that are factors of 7773. The greatest factor of 7773 is 7773.

3. What are the Factors of 7778?

Answer: Factors of 7778 are 1, 2, 3889, 7778. There are 4 integers that are factors of 7778. The greatest factor of 7778 is 7778.

4. How to Find the LCM of 7773 and 7778?

Answer:

Least Common Multiple of 7773 and 7778 = 60458394

Step 1: Find the prime factorization of 7773

7773 = 3 x 2591

Step 2: Find the prime factorization of 7778

7778 = 2 x 3889

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

LCM = 60458394 = 2 x 3 x 2591 x 3889

Step 4: Therefore, the least common multiple of 7773 and 7778 is 60458394.