Least Common Multiple of 8722 and 8728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8722 and 8728 the smallest integer that is 38062808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8722 and 8728 is 38062808.

LCM(8722,8728) = 38062808

LCM of 8722 and 8728

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

LCM of:
and

Least Common Multiple of 8722 and 8728

LCM of 8722 and 8728 is 38062808

Least common multiple can be found by multiplying the highest exponent prime factors of 8722 and 8728. First we will calculate the prime factors of 8722 and 8728.

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

Prime Factorization of 8728


2 8728
2 4364
2 2182
1091 1091
1

Prime factors of 8728 are 2,1091. Prime factorization of 8728 in exponential form is:

8728 = 23×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 8722 and 8728.

LCM(8722,8728) = 23×72×891×10911
LCM(8722,8728) = 38062808

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

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1, 2, 4, 8, 1091, 2182, 4364, 8728

Least Common Multiple of 8722 and 8728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8722 and 8728, than apply into the LCM equation.

GCF(8722,8728) = 2
LCM(8722,8728) = ( 8722 × 8728) / 2
LCM(8722,8728) = 76125616 / 2
LCM(8722,8728) = 38062808

Properties of LCM 8722 and 8728

(i) The LCM of 8728 and 8722 is associative

LCM of 8722 and 8728 = LCM of 8728 and 8722

Related Least Common Multiples of 8722

Related Least Common Multiples of 8728

Frequently Asked Questions on LCM of 8722 and 8728

1. What is the LCM of 8722 and 8728?

Answer: LCM of 8722 and 8728 is 38062808.

2. 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.

3. What are the Factors of 8728?

Answer: Factors of 8728 are 1, 2, 4, 8, 1091, 2182, 4364, 8728. There are 8 integers that are factors of 8728. The greatest factor of 8728 is 8728.

4. How to Find the LCM of 8722 and 8728?

Answer:

Least Common Multiple of 8722 and 8728 = 38062808

Step 1: Find the prime factorization of 8722

8722 = 2 x 7 x 7 x 89

Step 2: Find the prime factorization of 8728

8728 = 2 x 2 x 2 x 1091

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

LCM = 38062808 = 2 x 2 x 2 x 7 x 7 x 89 x 1091

Step 4: Therefore, the least common multiple of 8722 and 8728 is 38062808.