Least Common Multiple of 8738 and 8742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8738 and 8742 the smallest integer that is 38193798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8738 and 8742 is 38193798.

LCM(8738,8742) = 38193798

LCM of 8738 and 8742

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

LCM of:
and

Least Common Multiple of 8738 and 8742

LCM of 8738 and 8742 is 38193798

Least common multiple can be found by multiplying the highest exponent prime factors of 8738 and 8742. First we will calculate the prime factors of 8738 and 8742.

Prime Factorization of 8738


2 8738
17 4369
257 257
1

Prime factors of 8738 are 2, 17,257. Prime factorization of 8738 in exponential form is:

8738 = 21×171×2571

Prime Factorization of 8742


2 8742
3 4371
31 1457
47 47
1

Prime factors of 8742 are 2, 3, 31,47. Prime factorization of 8742 in exponential form is:

8742 = 21×31×311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8738 and 8742.

LCM(8738,8742) = 21×31×171×311×471×2571
LCM(8738,8742) = 38193798

Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1, 2, 17, 34, 257, 514, 4369, 8738

Factors of 8742

List of positive integer factors of 8742 that divides 8742 without a remainder.

1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742

Least Common Multiple of 8738 and 8742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8738 and 8742, than apply into the LCM equation.

GCF(8738,8742) = 2
LCM(8738,8742) = ( 8738 × 8742) / 2
LCM(8738,8742) = 76387596 / 2
LCM(8738,8742) = 38193798

Properties of LCM 8738 and 8742

(i) The LCM of 8742 and 8738 is associative

LCM of 8738 and 8742 = LCM of 8742 and 8738

Related Least Common Multiples of 8738

Related Least Common Multiples of 8742

Frequently Asked Questions on LCM of 8738 and 8742

1. What is the LCM of 8738 and 8742?

Answer: LCM of 8738 and 8742 is 38193798.

2. What are the Factors of 8738?

Answer: Factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738. There are 8 integers that are factors of 8738. The greatest factor of 8738 is 8738.

3. What are the Factors of 8742?

Answer: Factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742. There are 16 integers that are factors of 8742. The greatest factor of 8742 is 8742.

4. How to Find the LCM of 8738 and 8742?

Answer:

Least Common Multiple of 8738 and 8742 = 38193798

Step 1: Find the prime factorization of 8738

8738 = 2 x 17 x 257

Step 2: Find the prime factorization of 8742

8742 = 2 x 3 x 31 x 47

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

LCM = 38193798 = 2 x 3 x 17 x 31 x 47 x 257

Step 4: Therefore, the least common multiple of 8738 and 8742 is 38193798.