Least Common Multiple of 9772 and 9778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9772 and 9778 the smallest integer that is 47775308 that is divisible by both numbers.

Least Common Multiple (LCM) of 9772 and 9778 is 47775308.

LCM(9772,9778) = 47775308

LCM of 9772 and 9778

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

LCM of:
and

Least Common Multiple of 9772 and 9778

LCM of 9772 and 9778 is 47775308

Least common multiple can be found by multiplying the highest exponent prime factors of 9772 and 9778. First we will calculate the prime factors of 9772 and 9778.

Prime Factorization of 9772


2 9772
2 4886
7 2443
349 349
1

Prime factors of 9772 are 2, 7,349. Prime factorization of 9772 in exponential form is:

9772 = 22×71×3491

Prime Factorization of 9778


2 9778
4889 4889
1

Prime factors of 9778 are 2,4889. Prime factorization of 9778 in exponential form is:

9778 = 21×48891

Now multiplying the highest exponent prime factors to calculate the LCM of 9772 and 9778.

LCM(9772,9778) = 22×71×3491×48891
LCM(9772,9778) = 47775308

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

Factors of 9778

List of positive integer factors of 9778 that divides 9778 without a remainder.

1, 2, 4889, 9778

Least Common Multiple of 9772 and 9778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9772 and 9778, than apply into the LCM equation.

GCF(9772,9778) = 2
LCM(9772,9778) = ( 9772 × 9778) / 2
LCM(9772,9778) = 95550616 / 2
LCM(9772,9778) = 47775308

Properties of LCM 9772 and 9778

(i) The LCM of 9778 and 9772 is associative

LCM of 9772 and 9778 = LCM of 9778 and 9772

Related Least Common Multiples of 9772

Related Least Common Multiples of 9778

Frequently Asked Questions on LCM of 9772 and 9778

1. What is the LCM of 9772 and 9778?

Answer: LCM of 9772 and 9778 is 47775308.

2. What are the Factors of 9772?

Answer: Factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772. There are 12 integers that are factors of 9772. The greatest factor of 9772 is 9772.

3. What are the Factors of 9778?

Answer: Factors of 9778 are 1, 2, 4889, 9778. There are 4 integers that are factors of 9778. The greatest factor of 9778 is 9778.

4. How to Find the LCM of 9772 and 9778?

Answer:

Least Common Multiple of 9772 and 9778 = 47775308

Step 1: Find the prime factorization of 9772

9772 = 2 x 2 x 7 x 349

Step 2: Find the prime factorization of 9778

9778 = 2 x 4889

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

LCM = 47775308 = 2 x 2 x 7 x 349 x 4889

Step 4: Therefore, the least common multiple of 9772 and 9778 is 47775308.