Least Common Multiple of 8954 and 8959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8954 and 8959 the smallest integer that is 80218886 that is divisible by both numbers.

Least Common Multiple (LCM) of 8954 and 8959 is 80218886.

LCM(8954,8959) = 80218886

LCM of 8954 and 8959

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

LCM of:
and

Least Common Multiple of 8954 and 8959

LCM of 8954 and 8959 is 80218886

Least common multiple can be found by multiplying the highest exponent prime factors of 8954 and 8959. First we will calculate the prime factors of 8954 and 8959.

Prime Factorization of 8954


2 8954
11 4477
11 407
37 37
1

Prime factors of 8954 are 2, 11,37. Prime factorization of 8954 in exponential form is:

8954 = 21×112×371

Prime Factorization of 8959


17 8959
17 527
31 31
1

Prime factors of 8959 are 17,31. Prime factorization of 8959 in exponential form is:

8959 = 172×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8954 and 8959.

LCM(8954,8959) = 21×112×172×311×371
LCM(8954,8959) = 80218886

Factors of 8954

List of positive integer factors of 8954 that divides 8954 without a remainder.

1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954

Factors of 8959

List of positive integer factors of 8959 that divides 8959 without a remainder.

1, 17, 31, 289, 527, 8959

Least Common Multiple of 8954 and 8959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8954 and 8959, than apply into the LCM equation.

GCF(8954,8959) = 1
LCM(8954,8959) = ( 8954 × 8959) / 1
LCM(8954,8959) = 80218886 / 1
LCM(8954,8959) = 80218886

Properties of LCM 8954 and 8959

(i) The LCM of 8959 and 8954 is associative

LCM of 8954 and 8959 = LCM of 8959 and 8954

Related Least Common Multiples of 8954

Related Least Common Multiples of 8959

Frequently Asked Questions on LCM of 8954 and 8959

1. What is the LCM of 8954 and 8959?

Answer: LCM of 8954 and 8959 is 80218886.

2. What are the Factors of 8954?

Answer: Factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954. There are 12 integers that are factors of 8954. The greatest factor of 8954 is 8954.

3. What are the Factors of 8959?

Answer: Factors of 8959 are 1, 17, 31, 289, 527, 8959. There are 6 integers that are factors of 8959. The greatest factor of 8959 is 8959.

4. How to Find the LCM of 8954 and 8959?

Answer:

Least Common Multiple of 8954 and 8959 = 80218886

Step 1: Find the prime factorization of 8954

8954 = 2 x 11 x 11 x 37

Step 2: Find the prime factorization of 8959

8959 = 17 x 17 x 31

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

LCM = 80218886 = 2 x 11 x 11 x 17 x 17 x 31 x 37

Step 4: Therefore, the least common multiple of 8954 and 8959 is 80218886.