Least Common Multiple of 9762 and 9769

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 9769 the smallest integer that is 95364978 that is divisible by both numbers.

Least Common Multiple (LCM) of 9762 and 9769 is 95364978.

LCM(9762,9769) = 95364978

LCM of 9762 and 9769

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

LCM of:
and

Least Common Multiple of 9762 and 9769

LCM of 9762 and 9769 is 95364978

Least common multiple can be found by multiplying the highest exponent prime factors of 9762 and 9769. First we will calculate the prime factors of 9762 and 9769.

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 9769


9769 9769
1

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 97691

Now multiplying the highest exponent prime factors to calculate the LCM of 9762 and 9769.

LCM(9762,9769) = 21×31×16271×97691
LCM(9762,9769) = 95364978

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 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1, 9769

Least Common Multiple of 9762 and 9769 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 9769, than apply into the LCM equation.

GCF(9762,9769) = 1
LCM(9762,9769) = ( 9762 × 9769) / 1
LCM(9762,9769) = 95364978 / 1
LCM(9762,9769) = 95364978

Properties of LCM 9762 and 9769

(i) The LCM of 9769 and 9762 is associative

LCM of 9762 and 9769 = LCM of 9769 and 9762

Related Least Common Multiples of 9762

Related Least Common Multiples of 9769

Frequently Asked Questions on LCM of 9762 and 9769

1. What is the LCM of 9762 and 9769?

Answer: LCM of 9762 and 9769 is 95364978.

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 9769?

Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.

4. How to Find the LCM of 9762 and 9769?

Answer:

Least Common Multiple of 9762 and 9769 = 95364978

Step 1: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

Step 2: Find the prime factorization of 9769

9769 = 9769

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

LCM = 95364978 = 2 x 3 x 1627 x 9769

Step 4: Therefore, the least common multiple of 9762 and 9769 is 95364978.