Least Common Multiple of 8930 and 8938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8930 and 8938 the smallest integer that is 39908170 that is divisible by both numbers.

Least Common Multiple (LCM) of 8930 and 8938 is 39908170.

LCM(8930,8938) = 39908170

LCM of 8930 and 8938

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

LCM of:
and

Least Common Multiple of 8930 and 8938

LCM of 8930 and 8938 is 39908170

Least common multiple can be found by multiplying the highest exponent prime factors of 8930 and 8938. First we will calculate the prime factors of 8930 and 8938.

Prime Factorization of 8930


2 8930
5 4465
19 893
47 47
1

Prime factors of 8930 are 2, 5, 19,47. Prime factorization of 8930 in exponential form is:

8930 = 21×51×191×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8930 and 8938.

LCM(8930,8938) = 21×51×191×411×471×1091
LCM(8930,8938) = 39908170

Factors of 8930

List of positive integer factors of 8930 that divides 8930 without a remainder.

1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930

Factors of 8938

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

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

Least Common Multiple of 8930 and 8938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8930 and 8938, than apply into the LCM equation.

GCF(8930,8938) = 2
LCM(8930,8938) = ( 8930 × 8938) / 2
LCM(8930,8938) = 79816340 / 2
LCM(8930,8938) = 39908170

Properties of LCM 8930 and 8938

(i) The LCM of 8938 and 8930 is associative

LCM of 8930 and 8938 = LCM of 8938 and 8930

Related Least Common Multiples of 8930

Related Least Common Multiples of 8938

Frequently Asked Questions on LCM of 8930 and 8938

1. What is the LCM of 8930 and 8938?

Answer: LCM of 8930 and 8938 is 39908170.

2. What are the Factors of 8930?

Answer: Factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930. There are 16 integers that are factors of 8930. The greatest factor of 8930 is 8930.

3. 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.

4. How to Find the LCM of 8930 and 8938?

Answer:

Least Common Multiple of 8930 and 8938 = 39908170

Step 1: Find the prime factorization of 8930

8930 = 2 x 5 x 19 x 47

Step 2: Find the prime factorization of 8938

8938 = 2 x 41 x 109

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

LCM = 39908170 = 2 x 5 x 19 x 41 x 47 x 109

Step 4: Therefore, the least common multiple of 8930 and 8938 is 39908170.