Least Common Multiple of 8967 and 8968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8967 and 8968 the smallest integer that is 80416056 that is divisible by both numbers.

Least Common Multiple (LCM) of 8967 and 8968 is 80416056.

LCM(8967,8968) = 80416056

LCM of 8967 and 8968

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

LCM of:
and

Least Common Multiple of 8967 and 8968

LCM of 8967 and 8968 is 80416056

Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8968. First we will calculate the prime factors of 8967 and 8968.

Prime Factorization of 8967


3 8967
7 2989
7 427
61 61
1

Prime factors of 8967 are 3, 7,61. Prime factorization of 8967 in exponential form is:

8967 = 31×72×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8968.

LCM(8967,8968) = 23×31×72×191×591×611
LCM(8967,8968) = 80416056

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967

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

Least Common Multiple of 8967 and 8968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8967 and 8968, than apply into the LCM equation.

GCF(8967,8968) = 1
LCM(8967,8968) = ( 8967 × 8968) / 1
LCM(8967,8968) = 80416056 / 1
LCM(8967,8968) = 80416056

Properties of LCM 8967 and 8968

(i) The LCM of 8968 and 8967 is associative

LCM of 8967 and 8968 = LCM of 8968 and 8967

Related Least Common Multiples of 8967

Related Least Common Multiples of 8968

Frequently Asked Questions on LCM of 8967 and 8968

1. What is the LCM of 8967 and 8968?

Answer: LCM of 8967 and 8968 is 80416056.

2. What are the Factors of 8967?

Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.

3. 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.

4. How to Find the LCM of 8967 and 8968?

Answer:

Least Common Multiple of 8967 and 8968 = 80416056

Step 1: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

Step 2: Find the prime factorization of 8968

8968 = 2 x 2 x 2 x 19 x 59

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

LCM = 80416056 = 2 x 2 x 2 x 3 x 7 x 7 x 19 x 59 x 61

Step 4: Therefore, the least common multiple of 8967 and 8968 is 80416056.