Least Common Multiple of 8956 and 8963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8956 and 8963 the smallest integer that is 80272628 that is divisible by both numbers.

Least Common Multiple (LCM) of 8956 and 8963 is 80272628.

LCM(8956,8963) = 80272628

LCM of 8956 and 8963

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

LCM of:
and

Least Common Multiple of 8956 and 8963

LCM of 8956 and 8963 is 80272628

Least common multiple can be found by multiplying the highest exponent prime factors of 8956 and 8963. First we will calculate the prime factors of 8956 and 8963.

Prime Factorization of 8956


2 8956
2 4478
2239 2239
1

Prime factors of 8956 are 2,2239. Prime factorization of 8956 in exponential form is:

8956 = 22×22391

Prime Factorization of 8963


8963 8963
1

Prime factors of 8963 are 8963. Prime factorization of 8963 in exponential form is:

8963 = 89631

Now multiplying the highest exponent prime factors to calculate the LCM of 8956 and 8963.

LCM(8956,8963) = 22×22391×89631
LCM(8956,8963) = 80272628

Factors of 8956

List of positive integer factors of 8956 that divides 8956 without a remainder.

1, 2, 4, 2239, 4478, 8956

Factors of 8963

List of positive integer factors of 8963 that divides 8963 without a remainder.

1, 8963

Least Common Multiple of 8956 and 8963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8956 and 8963, than apply into the LCM equation.

GCF(8956,8963) = 1
LCM(8956,8963) = ( 8956 × 8963) / 1
LCM(8956,8963) = 80272628 / 1
LCM(8956,8963) = 80272628

Properties of LCM 8956 and 8963

(i) The LCM of 8963 and 8956 is associative

LCM of 8956 and 8963 = LCM of 8963 and 8956

Related Least Common Multiples of 8956

Related Least Common Multiples of 8963

Frequently Asked Questions on LCM of 8956 and 8963

1. What is the LCM of 8956 and 8963?

Answer: LCM of 8956 and 8963 is 80272628.

2. What are the Factors of 8956?

Answer: Factors of 8956 are 1, 2, 4, 2239, 4478, 8956. There are 6 integers that are factors of 8956. The greatest factor of 8956 is 8956.

3. What are the Factors of 8963?

Answer: Factors of 8963 are 1, 8963. There are 2 integers that are factors of 8963. The greatest factor of 8963 is 8963.

4. How to Find the LCM of 8956 and 8963?

Answer:

Least Common Multiple of 8956 and 8963 = 80272628

Step 1: Find the prime factorization of 8956

8956 = 2 x 2 x 2239

Step 2: Find the prime factorization of 8963

8963 = 8963

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

LCM = 80272628 = 2 x 2 x 2239 x 8963

Step 4: Therefore, the least common multiple of 8956 and 8963 is 80272628.