Least Common Multiple of 8734 and 8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8734 and 8740 the smallest integer that is 38167580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8734 and 8740 is 38167580.

LCM(8734,8740) = 38167580

LCM of 8734 and 8740

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

LCM of:
and

Least Common Multiple of 8734 and 8740

LCM of 8734 and 8740 is 38167580

Least common multiple can be found by multiplying the highest exponent prime factors of 8734 and 8740. First we will calculate the prime factors of 8734 and 8740.

Prime Factorization of 8734


2 8734
11 4367
397 397
1

Prime factors of 8734 are 2, 11,397. Prime factorization of 8734 in exponential form is:

8734 = 21×111×3971

Prime Factorization of 8740


2 8740
2 4370
5 2185
19 437
23 23
1

Prime factors of 8740 are 2, 5, 19,23. Prime factorization of 8740 in exponential form is:

8740 = 22×51×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8734 and 8740.

LCM(8734,8740) = 22×51×111×191×231×3971
LCM(8734,8740) = 38167580

Factors of 8734

List of positive integer factors of 8734 that divides 8734 without a remainder.

1, 2, 11, 22, 397, 794, 4367, 8734

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740

Least Common Multiple of 8734 and 8740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8734 and 8740, than apply into the LCM equation.

GCF(8734,8740) = 2
LCM(8734,8740) = ( 8734 × 8740) / 2
LCM(8734,8740) = 76335160 / 2
LCM(8734,8740) = 38167580

Properties of LCM 8734 and 8740

(i) The LCM of 8740 and 8734 is associative

LCM of 8734 and 8740 = LCM of 8740 and 8734

Related Least Common Multiples of 8734

Related Least Common Multiples of 8740

Frequently Asked Questions on LCM of 8734 and 8740

1. What is the LCM of 8734 and 8740?

Answer: LCM of 8734 and 8740 is 38167580.

2. What are the Factors of 8734?

Answer: Factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734. There are 8 integers that are factors of 8734. The greatest factor of 8734 is 8734.

3. What are the Factors of 8740?

Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.

4. How to Find the LCM of 8734 and 8740?

Answer:

Least Common Multiple of 8734 and 8740 = 38167580

Step 1: Find the prime factorization of 8734

8734 = 2 x 11 x 397

Step 2: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

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

LCM = 38167580 = 2 x 2 x 5 x 11 x 19 x 23 x 397

Step 4: Therefore, the least common multiple of 8734 and 8740 is 38167580.