Least Common Multiple of 8719 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 8719 and 8722 the smallest integer that is 76047118 that is divisible by both numbers.

Least Common Multiple (LCM) of 8719 and 8722 is 76047118.

LCM(8719,8722) = 76047118

LCM of 8719 and 8722

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

LCM of:
and

Least Common Multiple of 8719 and 8722

LCM of 8719 and 8722 is 76047118

Least common multiple can be found by multiplying the highest exponent prime factors of 8719 and 8722. First we will calculate the prime factors of 8719 and 8722.

Prime Factorization of 8719


8719 8719
1

Prime factors of 8719 are 8719. Prime factorization of 8719 in exponential form is:

8719 = 87191

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 8719 and 8722.

LCM(8719,8722) = 21×72×891×87191
LCM(8719,8722) = 76047118

Factors of 8719

List of positive integer factors of 8719 that divides 8719 without a remainder.

1, 8719

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 8719 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 8719 and 8722, than apply into the LCM equation.

GCF(8719,8722) = 1
LCM(8719,8722) = ( 8719 × 8722) / 1
LCM(8719,8722) = 76047118 / 1
LCM(8719,8722) = 76047118

Properties of LCM 8719 and 8722

(i) The LCM of 8722 and 8719 is associative

LCM of 8719 and 8722 = LCM of 8722 and 8719

Related Least Common Multiples of 8719

Related Least Common Multiples of 8722

Frequently Asked Questions on LCM of 8719 and 8722

1. What is the LCM of 8719 and 8722?

Answer: LCM of 8719 and 8722 is 76047118.

2. What are the Factors of 8719?

Answer: Factors of 8719 are 1, 8719. There are 2 integers that are factors of 8719. The greatest factor of 8719 is 8719.

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 8719 and 8722?

Answer:

Least Common Multiple of 8719 and 8722 = 76047118

Step 1: Find the prime factorization of 8719

8719 = 8719

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 = 76047118 = 2 x 7 x 7 x 89 x 8719

Step 4: Therefore, the least common multiple of 8719 and 8722 is 76047118.