Least Common Multiple of 8736 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 8736 and 8742 the smallest integer that is 12728352 that is divisible by both numbers.

Least Common Multiple (LCM) of 8736 and 8742 is 12728352.

LCM(8736,8742) = 12728352

LCM of 8736 and 8742

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

LCM of:
and

Least Common Multiple of 8736 and 8742

LCM of 8736 and 8742 is 12728352

Least common multiple can be found by multiplying the highest exponent prime factors of 8736 and 8742. First we will calculate the prime factors of 8736 and 8742.

Prime Factorization of 8736


2 8736
2 4368
2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 8736 are 2, 3, 7,13. Prime factorization of 8736 in exponential form is:

8736 = 25×31×71×131

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 8736 and 8742.

LCM(8736,8742) = 25×31×71×131×311×471
LCM(8736,8742) = 12728352

Factors of 8736

List of positive integer factors of 8736 that divides 8736 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736

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 8736 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 8736 and 8742, than apply into the LCM equation.

GCF(8736,8742) = 6
LCM(8736,8742) = ( 8736 × 8742) / 6
LCM(8736,8742) = 76370112 / 6
LCM(8736,8742) = 12728352

Properties of LCM 8736 and 8742

(i) The LCM of 8742 and 8736 is associative

LCM of 8736 and 8742 = LCM of 8742 and 8736

Related Least Common Multiples of 8736

Related Least Common Multiples of 8742

Frequently Asked Questions on LCM of 8736 and 8742

1. What is the LCM of 8736 and 8742?

Answer: LCM of 8736 and 8742 is 12728352.

2. What are the Factors of 8736?

Answer: Factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736. There are 48 integers that are factors of 8736. The greatest factor of 8736 is 8736.

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 8736 and 8742?

Answer:

Least Common Multiple of 8736 and 8742 = 12728352

Step 1: Find the prime factorization of 8736

8736 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13

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 = 12728352 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 31 x 47

Step 4: Therefore, the least common multiple of 8736 and 8742 is 12728352.