Least Common Multiple of 9545 and 9552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9545 and 9552 the smallest integer that is 91173840 that is divisible by both numbers.

Least Common Multiple (LCM) of 9545 and 9552 is 91173840.

LCM(9545,9552) = 91173840

LCM of 9545 and 9552

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

LCM of:
and

Least Common Multiple of 9545 and 9552

LCM of 9545 and 9552 is 91173840

Least common multiple can be found by multiplying the highest exponent prime factors of 9545 and 9552. First we will calculate the prime factors of 9545 and 9552.

Prime Factorization of 9545


5 9545
23 1909
83 83
1

Prime factors of 9545 are 5, 23,83. Prime factorization of 9545 in exponential form is:

9545 = 51×231×831

Prime Factorization of 9552


2 9552
2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 9552 are 2, 3,199. Prime factorization of 9552 in exponential form is:

9552 = 24×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9545 and 9552.

LCM(9545,9552) = 24×31×51×231×831×1991
LCM(9545,9552) = 91173840

Factors of 9545

List of positive integer factors of 9545 that divides 9545 without a remainder.

1, 5, 23, 83, 115, 415, 1909, 9545

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552

Least Common Multiple of 9545 and 9552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9545 and 9552, than apply into the LCM equation.

GCF(9545,9552) = 1
LCM(9545,9552) = ( 9545 × 9552) / 1
LCM(9545,9552) = 91173840 / 1
LCM(9545,9552) = 91173840

Properties of LCM 9545 and 9552

(i) The LCM of 9552 and 9545 is associative

LCM of 9545 and 9552 = LCM of 9552 and 9545

Related Least Common Multiples of 9545

Related Least Common Multiples of 9552

Frequently Asked Questions on LCM of 9545 and 9552

1. What is the LCM of 9545 and 9552?

Answer: LCM of 9545 and 9552 is 91173840.

2. What are the Factors of 9545?

Answer: Factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545. There are 8 integers that are factors of 9545. The greatest factor of 9545 is 9545.

3. What are the Factors of 9552?

Answer: Factors of 9552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552. There are 20 integers that are factors of 9552. The greatest factor of 9552 is 9552.

4. How to Find the LCM of 9545 and 9552?

Answer:

Least Common Multiple of 9545 and 9552 = 91173840

Step 1: Find the prime factorization of 9545

9545 = 5 x 23 x 83

Step 2: Find the prime factorization of 9552

9552 = 2 x 2 x 2 x 2 x 3 x 199

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

LCM = 91173840 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 83 x 199

Step 4: Therefore, the least common multiple of 9545 and 9552 is 91173840.