Least Common Multiple of 9732 and 9737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9732 and 9737 the smallest integer that is 94760484 that is divisible by both numbers.

Least Common Multiple (LCM) of 9732 and 9737 is 94760484.

LCM(9732,9737) = 94760484

LCM of 9732 and 9737

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

LCM of:
and

Least Common Multiple of 9732 and 9737

LCM of 9732 and 9737 is 94760484

Least common multiple can be found by multiplying the highest exponent prime factors of 9732 and 9737. First we will calculate the prime factors of 9732 and 9737.

Prime Factorization of 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2, 3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

Prime Factorization of 9737


7 9737
13 1391
107 107
1

Prime factors of 9737 are 7, 13,107. Prime factorization of 9737 in exponential form is:

9737 = 71×131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9732 and 9737.

LCM(9732,9737) = 22×31×71×131×1071×8111
LCM(9732,9737) = 94760484

Factors of 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732

Factors of 9737

List of positive integer factors of 9737 that divides 9737 without a remainder.

1, 7, 13, 91, 107, 749, 1391, 9737

Least Common Multiple of 9732 and 9737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9732 and 9737, than apply into the LCM equation.

GCF(9732,9737) = 1
LCM(9732,9737) = ( 9732 × 9737) / 1
LCM(9732,9737) = 94760484 / 1
LCM(9732,9737) = 94760484

Properties of LCM 9732 and 9737

(i) The LCM of 9737 and 9732 is associative

LCM of 9732 and 9737 = LCM of 9737 and 9732

Related Least Common Multiples of 9732

Related Least Common Multiples of 9737

Frequently Asked Questions on LCM of 9732 and 9737

1. What is the LCM of 9732 and 9737?

Answer: LCM of 9732 and 9737 is 94760484.

2. What are the Factors of 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

3. What are the Factors of 9737?

Answer: Factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737. There are 8 integers that are factors of 9737. The greatest factor of 9737 is 9737.

4. How to Find the LCM of 9732 and 9737?

Answer:

Least Common Multiple of 9732 and 9737 = 94760484

Step 1: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

Step 2: Find the prime factorization of 9737

9737 = 7 x 13 x 107

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

LCM = 94760484 = 2 x 2 x 3 x 7 x 13 x 107 x 811

Step 4: Therefore, the least common multiple of 9732 and 9737 is 94760484.