Least Common Multiple of 9754 and 9762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9754 and 9762 the smallest integer that is 47609274 that is divisible by both numbers.

Least Common Multiple (LCM) of 9754 and 9762 is 47609274.

LCM(9754,9762) = 47609274

LCM of 9754 and 9762

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

LCM of:
and

Least Common Multiple of 9754 and 9762

LCM of 9754 and 9762 is 47609274

Least common multiple can be found by multiplying the highest exponent prime factors of 9754 and 9762. First we will calculate the prime factors of 9754 and 9762.

Prime Factorization of 9754


2 9754
4877 4877
1

Prime factors of 9754 are 2,4877. Prime factorization of 9754 in exponential form is:

9754 = 21×48771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9754 and 9762.

LCM(9754,9762) = 21×31×16271×48771
LCM(9754,9762) = 47609274

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1, 2, 4877, 9754

Factors of 9762

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

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

Least Common Multiple of 9754 and 9762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9754 and 9762, than apply into the LCM equation.

GCF(9754,9762) = 2
LCM(9754,9762) = ( 9754 × 9762) / 2
LCM(9754,9762) = 95218548 / 2
LCM(9754,9762) = 47609274

Properties of LCM 9754 and 9762

(i) The LCM of 9762 and 9754 is associative

LCM of 9754 and 9762 = LCM of 9762 and 9754

Related Least Common Multiples of 9754

Related Least Common Multiples of 9762

Frequently Asked Questions on LCM of 9754 and 9762

1. What is the LCM of 9754 and 9762?

Answer: LCM of 9754 and 9762 is 47609274.

2. What are the Factors of 9754?

Answer: Factors of 9754 are 1, 2, 4877, 9754. There are 4 integers that are factors of 9754. The greatest factor of 9754 is 9754.

3. 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.

4. How to Find the LCM of 9754 and 9762?

Answer:

Least Common Multiple of 9754 and 9762 = 47609274

Step 1: Find the prime factorization of 9754

9754 = 2 x 4877

Step 2: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

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

LCM = 47609274 = 2 x 3 x 1627 x 4877

Step 4: Therefore, the least common multiple of 9754 and 9762 is 47609274.