Least Common Multiple of 8955 and 8960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8955 and 8960 the smallest integer that is 16047360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8955 and 8960 is 16047360.

LCM(8955,8960) = 16047360

LCM of 8955 and 8960

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

LCM of:
and

Least Common Multiple of 8955 and 8960

LCM of 8955 and 8960 is 16047360

Least common multiple can be found by multiplying the highest exponent prime factors of 8955 and 8960. First we will calculate the prime factors of 8955 and 8960.

Prime Factorization of 8955


3 8955
3 2985
5 995
199 199
1

Prime factors of 8955 are 3, 5,199. Prime factorization of 8955 in exponential form is:

8955 = 32×51×1991

Prime Factorization of 8960


2 8960
2 4480
2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 8960 are 2, 5,7. Prime factorization of 8960 in exponential form is:

8960 = 28×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 8955 and 8960.

LCM(8955,8960) = 28×32×51×71×1991
LCM(8955,8960) = 16047360

Factors of 8955

List of positive integer factors of 8955 that divides 8955 without a remainder.

1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960

Least Common Multiple of 8955 and 8960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8955 and 8960, than apply into the LCM equation.

GCF(8955,8960) = 5
LCM(8955,8960) = ( 8955 × 8960) / 5
LCM(8955,8960) = 80236800 / 5
LCM(8955,8960) = 16047360

Properties of LCM 8955 and 8960

(i) The LCM of 8960 and 8955 is associative

LCM of 8955 and 8960 = LCM of 8960 and 8955

Related Least Common Multiples of 8955

Related Least Common Multiples of 8960

Frequently Asked Questions on LCM of 8955 and 8960

1. What is the LCM of 8955 and 8960?

Answer: LCM of 8955 and 8960 is 16047360.

2. What are the Factors of 8955?

Answer: Factors of 8955 are 1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955. There are 12 integers that are factors of 8955. The greatest factor of 8955 is 8955.

3. What are the Factors of 8960?

Answer: Factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960. There are 36 integers that are factors of 8960. The greatest factor of 8960 is 8960.

4. How to Find the LCM of 8955 and 8960?

Answer:

Least Common Multiple of 8955 and 8960 = 16047360

Step 1: Find the prime factorization of 8955

8955 = 3 x 3 x 5 x 199

Step 2: Find the prime factorization of 8960

8960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

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

LCM = 16047360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 199

Step 4: Therefore, the least common multiple of 8955 and 8960 is 16047360.