Least Common Multiple of 9608 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 9608 and 9614 the smallest integer that is 46185656 that is divisible by both numbers.

Least Common Multiple (LCM) of 9608 and 9614 is 46185656.

LCM(9608,9614) = 46185656

LCM of 9608 and 9614

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

LCM of:
and

Least Common Multiple of 9608 and 9614

LCM of 9608 and 9614 is 46185656

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9614. First we will calculate the prime factors of 9608 and 9614.

Prime Factorization of 9608


2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 9608 are 2,1201. Prime factorization of 9608 in exponential form is:

9608 = 23×12011

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 9608 and 9614.

LCM(9608,9614) = 23×111×191×231×12011
LCM(9608,9614) = 46185656

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1, 2, 4, 8, 1201, 2402, 4804, 9608

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 9608 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 9608 and 9614, than apply into the LCM equation.

GCF(9608,9614) = 2
LCM(9608,9614) = ( 9608 × 9614) / 2
LCM(9608,9614) = 92371312 / 2
LCM(9608,9614) = 46185656

Properties of LCM 9608 and 9614

(i) The LCM of 9614 and 9608 is associative

LCM of 9608 and 9614 = LCM of 9614 and 9608

Related Least Common Multiples of 9608

Related Least Common Multiples of 9614

Frequently Asked Questions on LCM of 9608 and 9614

1. What is the LCM of 9608 and 9614?

Answer: LCM of 9608 and 9614 is 46185656.

2. What are the Factors of 9608?

Answer: Factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608. There are 8 integers that are factors of 9608. The greatest factor of 9608 is 9608.

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 9608 and 9614?

Answer:

Least Common Multiple of 9608 and 9614 = 46185656

Step 1: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

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 = 46185656 = 2 x 2 x 2 x 11 x 19 x 23 x 1201

Step 4: Therefore, the least common multiple of 9608 and 9614 is 46185656.