Least Common Multiple of 8958 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 8958 and 8960 the smallest integer that is 40131840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8958 and 8960 is 40131840.

LCM(8958,8960) = 40131840

LCM of 8958 and 8960

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

LCM of:
and

Least Common Multiple of 8958 and 8960

LCM of 8958 and 8960 is 40131840

Least common multiple can be found by multiplying the highest exponent prime factors of 8958 and 8960. First we will calculate the prime factors of 8958 and 8960.

Prime Factorization of 8958


2 8958
3 4479
1493 1493
1

Prime factors of 8958 are 2, 3,1493. Prime factorization of 8958 in exponential form is:

8958 = 21×31×14931

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 8958 and 8960.

LCM(8958,8960) = 28×31×51×71×14931
LCM(8958,8960) = 40131840

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1, 2, 3, 6, 1493, 2986, 4479, 8958

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 8958 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 8958 and 8960, than apply into the LCM equation.

GCF(8958,8960) = 2
LCM(8958,8960) = ( 8958 × 8960) / 2
LCM(8958,8960) = 80263680 / 2
LCM(8958,8960) = 40131840

Properties of LCM 8958 and 8960

(i) The LCM of 8960 and 8958 is associative

LCM of 8958 and 8960 = LCM of 8960 and 8958

Related Least Common Multiples of 8958

Related Least Common Multiples of 8960

Frequently Asked Questions on LCM of 8958 and 8960

1. What is the LCM of 8958 and 8960?

Answer: LCM of 8958 and 8960 is 40131840.

2. What are the Factors of 8958?

Answer: Factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958. There are 8 integers that are factors of 8958. The greatest factor of 8958 is 8958.

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 8958 and 8960?

Answer:

Least Common Multiple of 8958 and 8960 = 40131840

Step 1: Find the prime factorization of 8958

8958 = 2 x 3 x 1493

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 = 40131840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1493

Step 4: Therefore, the least common multiple of 8958 and 8960 is 40131840.