Least Common Multiple of 8714 and 8722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8714 and 8722 the smallest integer that is 38001754 that is divisible by both numbers.

Least Common Multiple (LCM) of 8714 and 8722 is 38001754.

LCM(8714,8722) = 38001754

LCM of 8714 and 8722

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

LCM of:
and

Least Common Multiple of 8714 and 8722

LCM of 8714 and 8722 is 38001754

Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8722. First we will calculate the prime factors of 8714 and 8722.

Prime Factorization of 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

Prime Factorization of 8722


2 8722
7 4361
7 623
89 89
1

Prime factors of 8722 are 2, 7,89. Prime factorization of 8722 in exponential form is:

8722 = 21×72×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8714 and 8722.

LCM(8714,8722) = 21×72×891×43571
LCM(8714,8722) = 38001754

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1, 2, 4357, 8714

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722

Least Common Multiple of 8714 and 8722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8714 and 8722, than apply into the LCM equation.

GCF(8714,8722) = 2
LCM(8714,8722) = ( 8714 × 8722) / 2
LCM(8714,8722) = 76003508 / 2
LCM(8714,8722) = 38001754

Properties of LCM 8714 and 8722

(i) The LCM of 8722 and 8714 is associative

LCM of 8714 and 8722 = LCM of 8722 and 8714

Related Least Common Multiples of 8714

Related Least Common Multiples of 8722

Frequently Asked Questions on LCM of 8714 and 8722

1. What is the LCM of 8714 and 8722?

Answer: LCM of 8714 and 8722 is 38001754.

2. What are the Factors of 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

3. What are the Factors of 8722?

Answer: Factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722. There are 12 integers that are factors of 8722. The greatest factor of 8722 is 8722.

4. How to Find the LCM of 8714 and 8722?

Answer:

Least Common Multiple of 8714 and 8722 = 38001754

Step 1: Find the prime factorization of 8714

8714 = 2 x 4357

Step 2: Find the prime factorization of 8722

8722 = 2 x 7 x 7 x 89

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

LCM = 38001754 = 2 x 7 x 7 x 89 x 4357

Step 4: Therefore, the least common multiple of 8714 and 8722 is 38001754.