Least Common Multiple of 9705 and 9710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9705 and 9710 the smallest integer that is 18847110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9705 and 9710 is 18847110.

LCM(9705,9710) = 18847110

LCM of 9705 and 9710

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

LCM of:
and

Least Common Multiple of 9705 and 9710

LCM of 9705 and 9710 is 18847110

Least common multiple can be found by multiplying the highest exponent prime factors of 9705 and 9710. First we will calculate the prime factors of 9705 and 9710.

Prime Factorization of 9705


3 9705
5 3235
647 647
1

Prime factors of 9705 are 3, 5,647. Prime factorization of 9705 in exponential form is:

9705 = 31×51×6471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9705 and 9710.

LCM(9705,9710) = 21×31×51×6471×9711
LCM(9705,9710) = 18847110

Factors of 9705

List of positive integer factors of 9705 that divides 9705 without a remainder.

1, 3, 5, 15, 647, 1941, 3235, 9705

Factors of 9710

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

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

Least Common Multiple of 9705 and 9710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9705 and 9710, than apply into the LCM equation.

GCF(9705,9710) = 5
LCM(9705,9710) = ( 9705 × 9710) / 5
LCM(9705,9710) = 94235550 / 5
LCM(9705,9710) = 18847110

Properties of LCM 9705 and 9710

(i) The LCM of 9710 and 9705 is associative

LCM of 9705 and 9710 = LCM of 9710 and 9705

Related Least Common Multiples of 9705

Related Least Common Multiples of 9710

Frequently Asked Questions on LCM of 9705 and 9710

1. What is the LCM of 9705 and 9710?

Answer: LCM of 9705 and 9710 is 18847110.

2. What are the Factors of 9705?

Answer: Factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705. There are 8 integers that are factors of 9705. The greatest factor of 9705 is 9705.

3. 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.

4. How to Find the LCM of 9705 and 9710?

Answer:

Least Common Multiple of 9705 and 9710 = 18847110

Step 1: Find the prime factorization of 9705

9705 = 3 x 5 x 647

Step 2: Find the prime factorization of 9710

9710 = 2 x 5 x 971

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

LCM = 18847110 = 2 x 3 x 5 x 647 x 971

Step 4: Therefore, the least common multiple of 9705 and 9710 is 18847110.