Least Common Multiple of 9710 and 9715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9710 and 9715 the smallest integer that is 18866530 that is divisible by both numbers.

Least Common Multiple (LCM) of 9710 and 9715 is 18866530.

LCM(9710,9715) = 18866530

LCM of 9710 and 9715

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

LCM of:
and

Least Common Multiple of 9710 and 9715

LCM of 9710 and 9715 is 18866530

Least common multiple can be found by multiplying the highest exponent prime factors of 9710 and 9715. First we will calculate the prime factors of 9710 and 9715.

Prime Factorization of 9710


2 9710
5 4855
971 971
1

Prime factors of 9710 are 2, 5,971. Prime factorization of 9710 in exponential form is:

9710 = 21×51×9711

Prime Factorization of 9715


5 9715
29 1943
67 67
1

Prime factors of 9715 are 5, 29,67. Prime factorization of 9715 in exponential form is:

9715 = 51×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9710 and 9715.

LCM(9710,9715) = 21×51×291×671×9711
LCM(9710,9715) = 18866530

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1, 2, 5, 10, 971, 1942, 4855, 9710

Factors of 9715

List of positive integer factors of 9715 that divides 9715 without a remainder.

1, 5, 29, 67, 145, 335, 1943, 9715

Least Common Multiple of 9710 and 9715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9710 and 9715, than apply into the LCM equation.

GCF(9710,9715) = 5
LCM(9710,9715) = ( 9710 × 9715) / 5
LCM(9710,9715) = 94332650 / 5
LCM(9710,9715) = 18866530

Properties of LCM 9710 and 9715

(i) The LCM of 9715 and 9710 is associative

LCM of 9710 and 9715 = LCM of 9715 and 9710

Related Least Common Multiples of 9710

Related Least Common Multiples of 9715

Frequently Asked Questions on LCM of 9710 and 9715

1. What is the LCM of 9710 and 9715?

Answer: LCM of 9710 and 9715 is 18866530.

2. What are the Factors of 9710?

Answer: Factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710. There are 8 integers that are factors of 9710. The greatest factor of 9710 is 9710.

3. What are the Factors of 9715?

Answer: Factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715. There are 8 integers that are factors of 9715. The greatest factor of 9715 is 9715.

4. How to Find the LCM of 9710 and 9715?

Answer:

Least Common Multiple of 9710 and 9715 = 18866530

Step 1: Find the prime factorization of 9710

9710 = 2 x 5 x 971

Step 2: Find the prime factorization of 9715

9715 = 5 x 29 x 67

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

LCM = 18866530 = 2 x 5 x 29 x 67 x 971

Step 4: Therefore, the least common multiple of 9710 and 9715 is 18866530.