Least Common Multiple of 9762 and 9770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9762 and 9770 the smallest integer that is 47687370 that is divisible by both numbers.

Least Common Multiple (LCM) of 9762 and 9770 is 47687370.

LCM(9762,9770) = 47687370

LCM of 9762 and 9770

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

LCM of:
and

Least Common Multiple of 9762 and 9770

LCM of 9762 and 9770 is 47687370

Least common multiple can be found by multiplying the highest exponent prime factors of 9762 and 9770. First we will calculate the prime factors of 9762 and 9770.

Prime Factorization of 9762


2 9762
3 4881
1627 1627
1

Prime factors of 9762 are 2, 3,1627. Prime factorization of 9762 in exponential form is:

9762 = 21×31×16271

Prime Factorization of 9770


2 9770
5 4885
977 977
1

Prime factors of 9770 are 2, 5,977. Prime factorization of 9770 in exponential form is:

9770 = 21×51×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 9762 and 9770.

LCM(9762,9770) = 21×31×51×9771×16271
LCM(9762,9770) = 47687370

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1, 2, 3, 6, 1627, 3254, 4881, 9762

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1, 2, 5, 10, 977, 1954, 4885, 9770

Least Common Multiple of 9762 and 9770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9762 and 9770, than apply into the LCM equation.

GCF(9762,9770) = 2
LCM(9762,9770) = ( 9762 × 9770) / 2
LCM(9762,9770) = 95374740 / 2
LCM(9762,9770) = 47687370

Properties of LCM 9762 and 9770

(i) The LCM of 9770 and 9762 is associative

LCM of 9762 and 9770 = LCM of 9770 and 9762

Related Least Common Multiples of 9762

Related Least Common Multiples of 9770

Frequently Asked Questions on LCM of 9762 and 9770

1. What is the LCM of 9762 and 9770?

Answer: LCM of 9762 and 9770 is 47687370.

2. What are the Factors of 9762?

Answer: Factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762. There are 8 integers that are factors of 9762. The greatest factor of 9762 is 9762.

3. What are the Factors of 9770?

Answer: Factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770. There are 8 integers that are factors of 9770. The greatest factor of 9770 is 9770.

4. How to Find the LCM of 9762 and 9770?

Answer:

Least Common Multiple of 9762 and 9770 = 47687370

Step 1: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

Step 2: Find the prime factorization of 9770

9770 = 2 x 5 x 977

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

LCM = 47687370 = 2 x 3 x 5 x 977 x 1627

Step 4: Therefore, the least common multiple of 9762 and 9770 is 47687370.