Least Common Multiple of 8955 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 8955 and 8963 the smallest integer that is 80263665 that is divisible by both numbers.

Least Common Multiple (LCM) of 8955 and 8963 is 80263665.

LCM(8955,8963) = 80263665

LCM of 8955 and 8963

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

LCM of:
and

Least Common Multiple of 8955 and 8963

LCM of 8955 and 8963 is 80263665

Least common multiple can be found by multiplying the highest exponent prime factors of 8955 and 8963. First we will calculate the prime factors of 8955 and 8963.

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 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 8955 and 8963.

LCM(8955,8963) = 32×51×1991×89631
LCM(8955,8963) = 80263665

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 8963

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

1, 8963

Least Common Multiple of 8955 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 8955 and 8963, than apply into the LCM equation.

GCF(8955,8963) = 1
LCM(8955,8963) = ( 8955 × 8963) / 1
LCM(8955,8963) = 80263665 / 1
LCM(8955,8963) = 80263665

Properties of LCM 8955 and 8963

(i) The LCM of 8963 and 8955 is associative

LCM of 8955 and 8963 = LCM of 8963 and 8955

Related Least Common Multiples of 8955

Related Least Common Multiples of 8963

Frequently Asked Questions on LCM of 8955 and 8963

1. What is the LCM of 8955 and 8963?

Answer: LCM of 8955 and 8963 is 80263665.

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 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 8955 and 8963?

Answer:

Least Common Multiple of 8955 and 8963 = 80263665

Step 1: Find the prime factorization of 8955

8955 = 3 x 3 x 5 x 199

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 = 80263665 = 3 x 3 x 5 x 199 x 8963

Step 4: Therefore, the least common multiple of 8955 and 8963 is 80263665.