Least Common Multiple of 4719 and 4724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4719 and 4724 the smallest integer that is 22292556 that is divisible by both numbers.

Least Common Multiple (LCM) of 4719 and 4724 is 22292556.

LCM(4719,4724) = 22292556

LCM of 4719 and 4724

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

LCM of:
and

Least Common Multiple of 4719 and 4724

LCM of 4719 and 4724 is 22292556

Least common multiple can be found by multiplying the highest exponent prime factors of 4719 and 4724. First we will calculate the prime factors of 4719 and 4724.

Prime Factorization of 4719


3 4719
11 1573
11 143
13 13
1

Prime factors of 4719 are 3, 11,13. Prime factorization of 4719 in exponential form is:

4719 = 31×112×131

Prime Factorization of 4724


2 4724
2 2362
1181 1181
1

Prime factors of 4724 are 2,1181. Prime factorization of 4724 in exponential form is:

4724 = 22×11811

Now multiplying the highest exponent prime factors to calculate the LCM of 4719 and 4724.

LCM(4719,4724) = 22×31×112×131×11811
LCM(4719,4724) = 22292556

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719

Factors of 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1, 2, 4, 1181, 2362, 4724

Least Common Multiple of 4719 and 4724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4719 and 4724, than apply into the LCM equation.

GCF(4719,4724) = 1
LCM(4719,4724) = ( 4719 × 4724) / 1
LCM(4719,4724) = 22292556 / 1
LCM(4719,4724) = 22292556

Properties of LCM 4719 and 4724

(i) The LCM of 4724 and 4719 is associative

LCM of 4719 and 4724 = LCM of 4724 and 4719

Related Least Common Multiples of 4719

Related Least Common Multiples of 4724

Frequently Asked Questions on LCM of 4719 and 4724

1. What is the LCM of 4719 and 4724?

Answer: LCM of 4719 and 4724 is 22292556.

2. What are the Factors of 4719?

Answer: Factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719. There are 12 integers that are factors of 4719. The greatest factor of 4719 is 4719.

3. What are the Factors of 4724?

Answer: Factors of 4724 are 1, 2, 4, 1181, 2362, 4724. There are 6 integers that are factors of 4724. The greatest factor of 4724 is 4724.

4. How to Find the LCM of 4719 and 4724?

Answer:

Least Common Multiple of 4719 and 4724 = 22292556

Step 1: Find the prime factorization of 4719

4719 = 3 x 11 x 11 x 13

Step 2: Find the prime factorization of 4724

4724 = 2 x 2 x 1181

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

LCM = 22292556 = 2 x 2 x 3 x 11 x 11 x 13 x 1181

Step 4: Therefore, the least common multiple of 4719 and 4724 is 22292556.