Least Common Multiple of 9449 and 9455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9449 and 9455 the smallest integer that is 89340295 that is divisible by both numbers.

Least Common Multiple (LCM) of 9449 and 9455 is 89340295.

LCM(9449,9455) = 89340295

LCM of 9449 and 9455

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

LCM of:
and

Least Common Multiple of 9449 and 9455

LCM of 9449 and 9455 is 89340295

Least common multiple can be found by multiplying the highest exponent prime factors of 9449 and 9455. First we will calculate the prime factors of 9449 and 9455.

Prime Factorization of 9449


11 9449
859 859
1

Prime factors of 9449 are 11,859. Prime factorization of 9449 in exponential form is:

9449 = 111×8591

Prime Factorization of 9455


5 9455
31 1891
61 61
1

Prime factors of 9455 are 5, 31,61. Prime factorization of 9455 in exponential form is:

9455 = 51×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9449 and 9455.

LCM(9449,9455) = 51×111×311×611×8591
LCM(9449,9455) = 89340295

Factors of 9449

List of positive integer factors of 9449 that divides 9449 without a remainder.

1, 11, 859, 9449

Factors of 9455

List of positive integer factors of 9455 that divides 9455 without a remainder.

1, 5, 31, 61, 155, 305, 1891, 9455

Least Common Multiple of 9449 and 9455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9449 and 9455, than apply into the LCM equation.

GCF(9449,9455) = 1
LCM(9449,9455) = ( 9449 × 9455) / 1
LCM(9449,9455) = 89340295 / 1
LCM(9449,9455) = 89340295

Properties of LCM 9449 and 9455

(i) The LCM of 9455 and 9449 is associative

LCM of 9449 and 9455 = LCM of 9455 and 9449

Related Least Common Multiples of 9449

Related Least Common Multiples of 9455

Frequently Asked Questions on LCM of 9449 and 9455

1. What is the LCM of 9449 and 9455?

Answer: LCM of 9449 and 9455 is 89340295.

2. What are the Factors of 9449?

Answer: Factors of 9449 are 1, 11, 859, 9449. There are 4 integers that are factors of 9449. The greatest factor of 9449 is 9449.

3. What are the Factors of 9455?

Answer: Factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455. There are 8 integers that are factors of 9455. The greatest factor of 9455 is 9455.

4. How to Find the LCM of 9449 and 9455?

Answer:

Least Common Multiple of 9449 and 9455 = 89340295

Step 1: Find the prime factorization of 9449

9449 = 11 x 859

Step 2: Find the prime factorization of 9455

9455 = 5 x 31 x 61

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

LCM = 89340295 = 5 x 11 x 31 x 61 x 859

Step 4: Therefore, the least common multiple of 9449 and 9455 is 89340295.