Least Common Multiple of 8742 and 8748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8742 and 8748 the smallest integer that is 12745836 that is divisible by both numbers.

Least Common Multiple (LCM) of 8742 and 8748 is 12745836.

LCM(8742,8748) = 12745836

LCM of 8742 and 8748

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

LCM of:
and

Least Common Multiple of 8742 and 8748

LCM of 8742 and 8748 is 12745836

Least common multiple can be found by multiplying the highest exponent prime factors of 8742 and 8748. First we will calculate the prime factors of 8742 and 8748.

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

Prime Factorization of 8748


2 8748
2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 8748 are 2,3. Prime factorization of 8748 in exponential form is:

8748 = 22×37

Now multiplying the highest exponent prime factors to calculate the LCM of 8742 and 8748.

LCM(8742,8748) = 22×37×311×471
LCM(8742,8748) = 12745836

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

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748

Least Common Multiple of 8742 and 8748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8742 and 8748, than apply into the LCM equation.

GCF(8742,8748) = 6
LCM(8742,8748) = ( 8742 × 8748) / 6
LCM(8742,8748) = 76475016 / 6
LCM(8742,8748) = 12745836

Properties of LCM 8742 and 8748

(i) The LCM of 8748 and 8742 is associative

LCM of 8742 and 8748 = LCM of 8748 and 8742

Related Least Common Multiples of 8742

Related Least Common Multiples of 8748

Frequently Asked Questions on LCM of 8742 and 8748

1. What is the LCM of 8742 and 8748?

Answer: LCM of 8742 and 8748 is 12745836.

2. 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.

3. What are the Factors of 8748?

Answer: Factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748. There are 24 integers that are factors of 8748. The greatest factor of 8748 is 8748.

4. How to Find the LCM of 8742 and 8748?

Answer:

Least Common Multiple of 8742 and 8748 = 12745836

Step 1: Find the prime factorization of 8742

8742 = 2 x 3 x 31 x 47

Step 2: Find the prime factorization of 8748

8748 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 12745836 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 31 x 47

Step 4: Therefore, the least common multiple of 8742 and 8748 is 12745836.