Least Common Multiple of 9608 and 9615

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 9615 the smallest integer that is 92380920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9608 and 9615 is 92380920.

LCM(9608,9615) = 92380920

LCM of 9608 and 9615

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

LCM of:
and

Least Common Multiple of 9608 and 9615

LCM of 9608 and 9615 is 92380920

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9615. First we will calculate the prime factors of 9608 and 9615.

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 9615


3 9615
5 3205
641 641
1

Prime factors of 9615 are 3, 5,641. Prime factorization of 9615 in exponential form is:

9615 = 31×51×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9615.

LCM(9608,9615) = 23×31×51×6411×12011
LCM(9608,9615) = 92380920

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 9615

List of positive integer factors of 9615 that divides 9615 without a remainder.

1, 3, 5, 15, 641, 1923, 3205, 9615

Least Common Multiple of 9608 and 9615 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 9615, than apply into the LCM equation.

GCF(9608,9615) = 1
LCM(9608,9615) = ( 9608 × 9615) / 1
LCM(9608,9615) = 92380920 / 1
LCM(9608,9615) = 92380920

Properties of LCM 9608 and 9615

(i) The LCM of 9615 and 9608 is associative

LCM of 9608 and 9615 = LCM of 9615 and 9608

Related Least Common Multiples of 9608

Related Least Common Multiples of 9615

Frequently Asked Questions on LCM of 9608 and 9615

1. What is the LCM of 9608 and 9615?

Answer: LCM of 9608 and 9615 is 92380920.

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 9615?

Answer: Factors of 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615. There are 8 integers that are factors of 9615. The greatest factor of 9615 is 9615.

4. How to Find the LCM of 9608 and 9615?

Answer:

Least Common Multiple of 9608 and 9615 = 92380920

Step 1: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

Step 2: Find the prime factorization of 9615

9615 = 3 x 5 x 641

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

LCM = 92380920 = 2 x 2 x 2 x 3 x 5 x 641 x 1201

Step 4: Therefore, the least common multiple of 9608 and 9615 is 92380920.