Least Common Multiple of 8938 and 8943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8938 and 8943 the smallest integer that is 79932534 that is divisible by both numbers.

Least Common Multiple (LCM) of 8938 and 8943 is 79932534.

LCM(8938,8943) = 79932534

LCM of 8938 and 8943

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

LCM of:
and

Least Common Multiple of 8938 and 8943

LCM of 8938 and 8943 is 79932534

Least common multiple can be found by multiplying the highest exponent prime factors of 8938 and 8943. First we will calculate the prime factors of 8938 and 8943.

Prime Factorization of 8938


2 8938
41 4469
109 109
1

Prime factors of 8938 are 2, 41,109. Prime factorization of 8938 in exponential form is:

8938 = 21×411×1091

Prime Factorization of 8943


3 8943
11 2981
271 271
1

Prime factors of 8943 are 3, 11,271. Prime factorization of 8943 in exponential form is:

8943 = 31×111×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 8938 and 8943.

LCM(8938,8943) = 21×31×111×411×1091×2711
LCM(8938,8943) = 79932534

Factors of 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1, 2, 41, 82, 109, 218, 4469, 8938

Factors of 8943

List of positive integer factors of 8943 that divides 8943 without a remainder.

1, 3, 11, 33, 271, 813, 2981, 8943

Least Common Multiple of 8938 and 8943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8938 and 8943, than apply into the LCM equation.

GCF(8938,8943) = 1
LCM(8938,8943) = ( 8938 × 8943) / 1
LCM(8938,8943) = 79932534 / 1
LCM(8938,8943) = 79932534

Properties of LCM 8938 and 8943

(i) The LCM of 8943 and 8938 is associative

LCM of 8938 and 8943 = LCM of 8943 and 8938

Related Least Common Multiples of 8938

Related Least Common Multiples of 8943

Frequently Asked Questions on LCM of 8938 and 8943

1. What is the LCM of 8938 and 8943?

Answer: LCM of 8938 and 8943 is 79932534.

2. What are the Factors of 8938?

Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.

3. What are the Factors of 8943?

Answer: Factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943. There are 8 integers that are factors of 8943. The greatest factor of 8943 is 8943.

4. How to Find the LCM of 8938 and 8943?

Answer:

Least Common Multiple of 8938 and 8943 = 79932534

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8943

8943 = 3 x 11 x 271

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

LCM = 79932534 = 2 x 3 x 11 x 41 x 109 x 271

Step 4: Therefore, the least common multiple of 8938 and 8943 is 79932534.