Least Common Multiple of 9608 and 9612

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 9612 the smallest integer that is 23088024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9608 and 9612 is 23088024.

LCM(9608,9612) = 23088024

LCM of 9608 and 9612

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

LCM of:
and

Least Common Multiple of 9608 and 9612

LCM of 9608 and 9612 is 23088024

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9612. First we will calculate the prime factors of 9608 and 9612.

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 9612


2 9612
2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 9612 are 2, 3,89. Prime factorization of 9612 in exponential form is:

9612 = 22×33×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9612.

LCM(9608,9612) = 23×33×891×12011
LCM(9608,9612) = 23088024

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 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612

Least Common Multiple of 9608 and 9612 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 9612, than apply into the LCM equation.

GCF(9608,9612) = 4
LCM(9608,9612) = ( 9608 × 9612) / 4
LCM(9608,9612) = 92352096 / 4
LCM(9608,9612) = 23088024

Properties of LCM 9608 and 9612

(i) The LCM of 9612 and 9608 is associative

LCM of 9608 and 9612 = LCM of 9612 and 9608

Related Least Common Multiples of 9608

Related Least Common Multiples of 9612

Frequently Asked Questions on LCM of 9608 and 9612

1. What is the LCM of 9608 and 9612?

Answer: LCM of 9608 and 9612 is 23088024.

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 9612?

Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.

4. How to Find the LCM of 9608 and 9612?

Answer:

Least Common Multiple of 9608 and 9612 = 23088024

Step 1: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

Step 2: Find the prime factorization of 9612

9612 = 2 x 2 x 3 x 3 x 3 x 89

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

LCM = 23088024 = 2 x 2 x 2 x 3 x 3 x 3 x 89 x 1201

Step 4: Therefore, the least common multiple of 9608 and 9612 is 23088024.