Least Common Multiple of 9610 and 9614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9610 and 9614 the smallest integer that is 46195270 that is divisible by both numbers.

Least Common Multiple (LCM) of 9610 and 9614 is 46195270.

LCM(9610,9614) = 46195270

LCM of 9610 and 9614

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

LCM of:
and

Least Common Multiple of 9610 and 9614

LCM of 9610 and 9614 is 46195270

Least common multiple can be found by multiplying the highest exponent prime factors of 9610 and 9614. First we will calculate the prime factors of 9610 and 9614.

Prime Factorization of 9610


2 9610
5 4805
31 961
31 31
1

Prime factors of 9610 are 2, 5,31. Prime factorization of 9610 in exponential form is:

9610 = 21×51×312

Prime Factorization of 9614


2 9614
11 4807
19 437
23 23
1

Prime factors of 9614 are 2, 11, 19,23. Prime factorization of 9614 in exponential form is:

9614 = 21×111×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9610 and 9614.

LCM(9610,9614) = 21×51×111×191×231×312
LCM(9610,9614) = 46195270

Factors of 9610

List of positive integer factors of 9610 that divides 9610 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610

Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614

Least Common Multiple of 9610 and 9614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9610 and 9614, than apply into the LCM equation.

GCF(9610,9614) = 2
LCM(9610,9614) = ( 9610 × 9614) / 2
LCM(9610,9614) = 92390540 / 2
LCM(9610,9614) = 46195270

Properties of LCM 9610 and 9614

(i) The LCM of 9614 and 9610 is associative

LCM of 9610 and 9614 = LCM of 9614 and 9610

Related Least Common Multiples of 9610

Related Least Common Multiples of 9614

Frequently Asked Questions on LCM of 9610 and 9614

1. What is the LCM of 9610 and 9614?

Answer: LCM of 9610 and 9614 is 46195270.

2. What are the Factors of 9610?

Answer: Factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610. There are 12 integers that are factors of 9610. The greatest factor of 9610 is 9610.

3. What are the Factors of 9614?

Answer: Factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614. There are 16 integers that are factors of 9614. The greatest factor of 9614 is 9614.

4. How to Find the LCM of 9610 and 9614?

Answer:

Least Common Multiple of 9610 and 9614 = 46195270

Step 1: Find the prime factorization of 9610

9610 = 2 x 5 x 31 x 31

Step 2: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

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

LCM = 46195270 = 2 x 5 x 11 x 19 x 23 x 31 x 31

Step 4: Therefore, the least common multiple of 9610 and 9614 is 46195270.