Least Common Multiple of 9704 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 9704 and 9705 the smallest integer that is 94177320 that is divisible by both numbers.

Least Common Multiple (LCM) of 9704 and 9705 is 94177320.

LCM(9704,9705) = 94177320

LCM of 9704 and 9705

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

LCM of:
and

Least Common Multiple of 9704 and 9705

LCM of 9704 and 9705 is 94177320

Least common multiple can be found by multiplying the highest exponent prime factors of 9704 and 9705. First we will calculate the prime factors of 9704 and 9705.

Prime Factorization of 9704


2 9704
2 4852
2 2426
1213 1213
1

Prime factors of 9704 are 2,1213. Prime factorization of 9704 in exponential form is:

9704 = 23×12131

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 9704 and 9705.

LCM(9704,9705) = 23×31×51×6471×12131
LCM(9704,9705) = 94177320

Factors of 9704

List of positive integer factors of 9704 that divides 9704 without a remainder.

1, 2, 4, 8, 1213, 2426, 4852, 9704

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 9704 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 9704 and 9705, than apply into the LCM equation.

GCF(9704,9705) = 1
LCM(9704,9705) = ( 9704 × 9705) / 1
LCM(9704,9705) = 94177320 / 1
LCM(9704,9705) = 94177320

Properties of LCM 9704 and 9705

(i) The LCM of 9705 and 9704 is associative

LCM of 9704 and 9705 = LCM of 9705 and 9704

Related Least Common Multiples of 9704

Related Least Common Multiples of 9705

Frequently Asked Questions on LCM of 9704 and 9705

1. What is the LCM of 9704 and 9705?

Answer: LCM of 9704 and 9705 is 94177320.

2. What are the Factors of 9704?

Answer: Factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704. There are 8 integers that are factors of 9704. The greatest factor of 9704 is 9704.

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 9704 and 9705?

Answer:

Least Common Multiple of 9704 and 9705 = 94177320

Step 1: Find the prime factorization of 9704

9704 = 2 x 2 x 2 x 1213

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 = 94177320 = 2 x 2 x 2 x 3 x 5 x 647 x 1213

Step 4: Therefore, the least common multiple of 9704 and 9705 is 94177320.