Least Common Multiple of 8938 and 8942

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 8942 the smallest integer that is 39961798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8938 and 8942 is 39961798.

LCM(8938,8942) = 39961798

LCM of 8938 and 8942

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

LCM of:
and

Least Common Multiple of 8938 and 8942

LCM of 8938 and 8942 is 39961798

Least common multiple can be found by multiplying the highest exponent prime factors of 8938 and 8942. First we will calculate the prime factors of 8938 and 8942.

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 8942


2 8942
17 4471
263 263
1

Prime factors of 8942 are 2, 17,263. Prime factorization of 8942 in exponential form is:

8942 = 21×171×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 8938 and 8942.

LCM(8938,8942) = 21×171×411×1091×2631
LCM(8938,8942) = 39961798

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 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1, 2, 17, 34, 263, 526, 4471, 8942

Least Common Multiple of 8938 and 8942 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 8942, than apply into the LCM equation.

GCF(8938,8942) = 2
LCM(8938,8942) = ( 8938 × 8942) / 2
LCM(8938,8942) = 79923596 / 2
LCM(8938,8942) = 39961798

Properties of LCM 8938 and 8942

(i) The LCM of 8942 and 8938 is associative

LCM of 8938 and 8942 = LCM of 8942 and 8938

Related Least Common Multiples of 8938

Related Least Common Multiples of 8942

Frequently Asked Questions on LCM of 8938 and 8942

1. What is the LCM of 8938 and 8942?

Answer: LCM of 8938 and 8942 is 39961798.

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 8942?

Answer: Factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942. There are 8 integers that are factors of 8942. The greatest factor of 8942 is 8942.

4. How to Find the LCM of 8938 and 8942?

Answer:

Least Common Multiple of 8938 and 8942 = 39961798

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8942

8942 = 2 x 17 x 263

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

LCM = 39961798 = 2 x 17 x 41 x 109 x 263

Step 4: Therefore, the least common multiple of 8938 and 8942 is 39961798.