Least Common Multiple of 8734 and 8741

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 8741 the smallest integer that is 76343894 that is divisible by both numbers.

Least Common Multiple (LCM) of 8734 and 8741 is 76343894.

LCM(8734,8741) = 76343894

LCM of 8734 and 8741

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

LCM of:
and

Least Common Multiple of 8734 and 8741

LCM of 8734 and 8741 is 76343894

Least common multiple can be found by multiplying the highest exponent prime factors of 8734 and 8741. First we will calculate the prime factors of 8734 and 8741.

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 8741


8741 8741
1

Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:

8741 = 87411

Now multiplying the highest exponent prime factors to calculate the LCM of 8734 and 8741.

LCM(8734,8741) = 21×111×3971×87411
LCM(8734,8741) = 76343894

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 8741

List of positive integer factors of 8741 that divides 8741 without a remainder.

1, 8741

Least Common Multiple of 8734 and 8741 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 8741, than apply into the LCM equation.

GCF(8734,8741) = 1
LCM(8734,8741) = ( 8734 × 8741) / 1
LCM(8734,8741) = 76343894 / 1
LCM(8734,8741) = 76343894

Properties of LCM 8734 and 8741

(i) The LCM of 8741 and 8734 is associative

LCM of 8734 and 8741 = LCM of 8741 and 8734

Related Least Common Multiples of 8734

Related Least Common Multiples of 8741

Frequently Asked Questions on LCM of 8734 and 8741

1. What is the LCM of 8734 and 8741?

Answer: LCM of 8734 and 8741 is 76343894.

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 8741?

Answer: Factors of 8741 are 1, 8741. There are 2 integers that are factors of 8741. The greatest factor of 8741 is 8741.

4. How to Find the LCM of 8734 and 8741?

Answer:

Least Common Multiple of 8734 and 8741 = 76343894

Step 1: Find the prime factorization of 8734

8734 = 2 x 11 x 397

Step 2: Find the prime factorization of 8741

8741 = 8741

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

LCM = 76343894 = 2 x 11 x 397 x 8741

Step 4: Therefore, the least common multiple of 8734 and 8741 is 76343894.