Least Common Multiple of 8968 and 8975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8968 and 8975 the smallest integer that is 80487800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8968 and 8975 is 80487800.

LCM(8968,8975) = 80487800

LCM of 8968 and 8975

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

LCM of:
and

Least Common Multiple of 8968 and 8975

LCM of 8968 and 8975 is 80487800

Least common multiple can be found by multiplying the highest exponent prime factors of 8968 and 8975. First we will calculate the prime factors of 8968 and 8975.

Prime Factorization of 8968


2 8968
2 4484
2 2242
19 1121
59 59
1

Prime factors of 8968 are 2, 19,59. Prime factorization of 8968 in exponential form is:

8968 = 23×191×591

Prime Factorization of 8975


5 8975
5 1795
359 359
1

Prime factors of 8975 are 5,359. Prime factorization of 8975 in exponential form is:

8975 = 52×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 8968 and 8975.

LCM(8968,8975) = 23×52×191×591×3591
LCM(8968,8975) = 80487800

Factors of 8968

List of positive integer factors of 8968 that divides 8968 without a remainder.

1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968

Factors of 8975

List of positive integer factors of 8975 that divides 8975 without a remainder.

1, 5, 25, 359, 1795, 8975

Least Common Multiple of 8968 and 8975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8968 and 8975, than apply into the LCM equation.

GCF(8968,8975) = 1
LCM(8968,8975) = ( 8968 × 8975) / 1
LCM(8968,8975) = 80487800 / 1
LCM(8968,8975) = 80487800

Properties of LCM 8968 and 8975

(i) The LCM of 8975 and 8968 is associative

LCM of 8968 and 8975 = LCM of 8975 and 8968

Related Least Common Multiples of 8968

Related Least Common Multiples of 8975

Frequently Asked Questions on LCM of 8968 and 8975

1. What is the LCM of 8968 and 8975?

Answer: LCM of 8968 and 8975 is 80487800.

2. What are the Factors of 8968?

Answer: Factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968. There are 16 integers that are factors of 8968. The greatest factor of 8968 is 8968.

3. What are the Factors of 8975?

Answer: Factors of 8975 are 1, 5, 25, 359, 1795, 8975. There are 6 integers that are factors of 8975. The greatest factor of 8975 is 8975.

4. How to Find the LCM of 8968 and 8975?

Answer:

Least Common Multiple of 8968 and 8975 = 80487800

Step 1: Find the prime factorization of 8968

8968 = 2 x 2 x 2 x 19 x 59

Step 2: Find the prime factorization of 8975

8975 = 5 x 5 x 359

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

LCM = 80487800 = 2 x 2 x 2 x 5 x 5 x 19 x 59 x 359

Step 4: Therefore, the least common multiple of 8968 and 8975 is 80487800.