Least Common Multiple of 9700 and 9705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9700 and 9705 the smallest integer that is 18827700 that is divisible by both numbers.

Least Common Multiple (LCM) of 9700 and 9705 is 18827700.

LCM(9700,9705) = 18827700

LCM of 9700 and 9705

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

LCM of:
and

Least Common Multiple of 9700 and 9705

LCM of 9700 and 9705 is 18827700

Least common multiple can be found by multiplying the highest exponent prime factors of 9700 and 9705. First we will calculate the prime factors of 9700 and 9705.

Prime Factorization of 9700


2 9700
2 4850
5 2425
5 485
97 97
1

Prime factors of 9700 are 2, 5,97. Prime factorization of 9700 in exponential form is:

9700 = 22×52×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9700 and 9705.

LCM(9700,9705) = 22×31×52×971×6471
LCM(9700,9705) = 18827700

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700

Factors of 9705

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

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

Least Common Multiple of 9700 and 9705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9700 and 9705, than apply into the LCM equation.

GCF(9700,9705) = 5
LCM(9700,9705) = ( 9700 × 9705) / 5
LCM(9700,9705) = 94138500 / 5
LCM(9700,9705) = 18827700

Properties of LCM 9700 and 9705

(i) The LCM of 9705 and 9700 is associative

LCM of 9700 and 9705 = LCM of 9705 and 9700

Related Least Common Multiples of 9700

Related Least Common Multiples of 9705

Frequently Asked Questions on LCM of 9700 and 9705

1. What is the LCM of 9700 and 9705?

Answer: LCM of 9700 and 9705 is 18827700.

2. What are the Factors of 9700?

Answer: Factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700. There are 18 integers that are factors of 9700. The greatest factor of 9700 is 9700.

3. 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.

4. How to Find the LCM of 9700 and 9705?

Answer:

Least Common Multiple of 9700 and 9705 = 18827700

Step 1: Find the prime factorization of 9700

9700 = 2 x 2 x 5 x 5 x 97

Step 2: Find the prime factorization of 9705

9705 = 3 x 5 x 647

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

LCM = 18827700 = 2 x 2 x 3 x 5 x 5 x 97 x 647

Step 4: Therefore, the least common multiple of 9700 and 9705 is 18827700.