Least Common Multiple of 8953 and 8955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8953 and 8955 the smallest integer that is 80174115 that is divisible by both numbers.

Least Common Multiple (LCM) of 8953 and 8955 is 80174115.

LCM(8953,8955) = 80174115

LCM of 8953 and 8955

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

LCM of:
and

Least Common Multiple of 8953 and 8955

LCM of 8953 and 8955 is 80174115

Least common multiple can be found by multiplying the highest exponent prime factors of 8953 and 8955. First we will calculate the prime factors of 8953 and 8955.

Prime Factorization of 8953


7 8953
1279 1279
1

Prime factors of 8953 are 7,1279. Prime factorization of 8953 in exponential form is:

8953 = 71×12791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8953 and 8955.

LCM(8953,8955) = 32×51×71×1991×12791
LCM(8953,8955) = 80174115

Factors of 8953

List of positive integer factors of 8953 that divides 8953 without a remainder.

1, 7, 1279, 8953

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

Least Common Multiple of 8953 and 8955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8953 and 8955, than apply into the LCM equation.

GCF(8953,8955) = 1
LCM(8953,8955) = ( 8953 × 8955) / 1
LCM(8953,8955) = 80174115 / 1
LCM(8953,8955) = 80174115

Properties of LCM 8953 and 8955

(i) The LCM of 8955 and 8953 is associative

LCM of 8953 and 8955 = LCM of 8955 and 8953

Related Least Common Multiples of 8953

Related Least Common Multiples of 8955

Frequently Asked Questions on LCM of 8953 and 8955

1. What is the LCM of 8953 and 8955?

Answer: LCM of 8953 and 8955 is 80174115.

2. What are the Factors of 8953?

Answer: Factors of 8953 are 1, 7, 1279, 8953. There are 4 integers that are factors of 8953. The greatest factor of 8953 is 8953.

3. 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.

4. How to Find the LCM of 8953 and 8955?

Answer:

Least Common Multiple of 8953 and 8955 = 80174115

Step 1: Find the prime factorization of 8953

8953 = 7 x 1279

Step 2: Find the prime factorization of 8955

8955 = 3 x 3 x 5 x 199

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

LCM = 80174115 = 3 x 3 x 5 x 7 x 199 x 1279

Step 4: Therefore, the least common multiple of 8953 and 8955 is 80174115.