Least Common Multiple of 9757 and 9761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9757 and 9761 the smallest integer that is 95238077 that is divisible by both numbers.

Least Common Multiple (LCM) of 9757 and 9761 is 95238077.

LCM(9757,9761) = 95238077

LCM of 9757 and 9761

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

LCM of:
and

Least Common Multiple of 9757 and 9761

LCM of 9757 and 9761 is 95238077

Least common multiple can be found by multiplying the highest exponent prime factors of 9757 and 9761. First we will calculate the prime factors of 9757 and 9761.

Prime Factorization of 9757


11 9757
887 887
1

Prime factors of 9757 are 11,887. Prime factorization of 9757 in exponential form is:

9757 = 111×8871

Prime Factorization of 9761


43 9761
227 227
1

Prime factors of 9761 are 43,227. Prime factorization of 9761 in exponential form is:

9761 = 431×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 9757 and 9761.

LCM(9757,9761) = 111×431×2271×8871
LCM(9757,9761) = 95238077

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1, 11, 887, 9757

Factors of 9761

List of positive integer factors of 9761 that divides 9761 without a remainder.

1, 43, 227, 9761

Least Common Multiple of 9757 and 9761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9757 and 9761, than apply into the LCM equation.

GCF(9757,9761) = 1
LCM(9757,9761) = ( 9757 × 9761) / 1
LCM(9757,9761) = 95238077 / 1
LCM(9757,9761) = 95238077

Properties of LCM 9757 and 9761

(i) The LCM of 9761 and 9757 is associative

LCM of 9757 and 9761 = LCM of 9761 and 9757

Related Least Common Multiples of 9757

Related Least Common Multiples of 9761

Frequently Asked Questions on LCM of 9757 and 9761

1. What is the LCM of 9757 and 9761?

Answer: LCM of 9757 and 9761 is 95238077.

2. What are the Factors of 9757?

Answer: Factors of 9757 are 1, 11, 887, 9757. There are 4 integers that are factors of 9757. The greatest factor of 9757 is 9757.

3. What are the Factors of 9761?

Answer: Factors of 9761 are 1, 43, 227, 9761. There are 4 integers that are factors of 9761. The greatest factor of 9761 is 9761.

4. How to Find the LCM of 9757 and 9761?

Answer:

Least Common Multiple of 9757 and 9761 = 95238077

Step 1: Find the prime factorization of 9757

9757 = 11 x 887

Step 2: Find the prime factorization of 9761

9761 = 43 x 227

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

LCM = 95238077 = 11 x 43 x 227 x 887

Step 4: Therefore, the least common multiple of 9757 and 9761 is 95238077.