Least Common Multiple of 8740 and 8744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8740 and 8744 the smallest integer that is 19105640 that is divisible by both numbers.

Least Common Multiple (LCM) of 8740 and 8744 is 19105640.

LCM(8740,8744) = 19105640

LCM of 8740 and 8744

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

LCM of:
and

Least Common Multiple of 8740 and 8744

LCM of 8740 and 8744 is 19105640

Least common multiple can be found by multiplying the highest exponent prime factors of 8740 and 8744. First we will calculate the prime factors of 8740 and 8744.

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

Prime Factorization of 8744


2 8744
2 4372
2 2186
1093 1093
1

Prime factors of 8744 are 2,1093. Prime factorization of 8744 in exponential form is:

8744 = 23×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 8740 and 8744.

LCM(8740,8744) = 23×51×191×231×10931
LCM(8740,8744) = 19105640

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

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1, 2, 4, 8, 1093, 2186, 4372, 8744

Least Common Multiple of 8740 and 8744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8740 and 8744, than apply into the LCM equation.

GCF(8740,8744) = 4
LCM(8740,8744) = ( 8740 × 8744) / 4
LCM(8740,8744) = 76422560 / 4
LCM(8740,8744) = 19105640

Properties of LCM 8740 and 8744

(i) The LCM of 8744 and 8740 is associative

LCM of 8740 and 8744 = LCM of 8744 and 8740

Related Least Common Multiples of 8740

Related Least Common Multiples of 8744

Frequently Asked Questions on LCM of 8740 and 8744

1. What is the LCM of 8740 and 8744?

Answer: LCM of 8740 and 8744 is 19105640.

2. 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.

3. What are the Factors of 8744?

Answer: Factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744. There are 8 integers that are factors of 8744. The greatest factor of 8744 is 8744.

4. How to Find the LCM of 8740 and 8744?

Answer:

Least Common Multiple of 8740 and 8744 = 19105640

Step 1: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 8744

8744 = 2 x 2 x 2 x 1093

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

LCM = 19105640 = 2 x 2 x 2 x 5 x 19 x 23 x 1093

Step 4: Therefore, the least common multiple of 8740 and 8744 is 19105640.