Least Common Multiple of 7772 and 7773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7772 and 7773 the smallest integer that is 60411756 that is divisible by both numbers.

Least Common Multiple (LCM) of 7772 and 7773 is 60411756.

LCM(7772,7773) = 60411756

LCM of 7772 and 7773

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

LCM of:
and

Least Common Multiple of 7772 and 7773

LCM of 7772 and 7773 is 60411756

Least common multiple can be found by multiplying the highest exponent prime factors of 7772 and 7773. First we will calculate the prime factors of 7772 and 7773.

Prime Factorization of 7772


2 7772
2 3886
29 1943
67 67
1

Prime factors of 7772 are 2, 29,67. Prime factorization of 7772 in exponential form is:

7772 = 22×291×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7772 and 7773.

LCM(7772,7773) = 22×31×291×671×25911
LCM(7772,7773) = 60411756

Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772

Factors of 7773

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

1, 3, 2591, 7773

Least Common Multiple of 7772 and 7773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7772 and 7773, than apply into the LCM equation.

GCF(7772,7773) = 1
LCM(7772,7773) = ( 7772 × 7773) / 1
LCM(7772,7773) = 60411756 / 1
LCM(7772,7773) = 60411756

Properties of LCM 7772 and 7773

(i) The LCM of 7773 and 7772 is associative

LCM of 7772 and 7773 = LCM of 7773 and 7772

Related Least Common Multiples of 7772

Related Least Common Multiples of 7773

Frequently Asked Questions on LCM of 7772 and 7773

1. What is the LCM of 7772 and 7773?

Answer: LCM of 7772 and 7773 is 60411756.

2. What are the Factors of 7772?

Answer: Factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772. There are 12 integers that are factors of 7772. The greatest factor of 7772 is 7772.

3. 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.

4. How to Find the LCM of 7772 and 7773?

Answer:

Least Common Multiple of 7772 and 7773 = 60411756

Step 1: Find the prime factorization of 7772

7772 = 2 x 2 x 29 x 67

Step 2: Find the prime factorization of 7773

7773 = 3 x 2591

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

LCM = 60411756 = 2 x 2 x 3 x 29 x 67 x 2591

Step 4: Therefore, the least common multiple of 7772 and 7773 is 60411756.