Least Common Multiple of 4724 and 4730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4724 and 4730 the smallest integer that is 11172260 that is divisible by both numbers.

Least Common Multiple (LCM) of 4724 and 4730 is 11172260.

LCM(4724,4730) = 11172260

LCM of 4724 and 4730

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

LCM of:
and

Least Common Multiple of 4724 and 4730

LCM of 4724 and 4730 is 11172260

Least common multiple can be found by multiplying the highest exponent prime factors of 4724 and 4730. First we will calculate the prime factors of 4724 and 4730.

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

Prime Factorization of 4730


2 4730
5 2365
11 473
43 43
1

Prime factors of 4730 are 2, 5, 11,43. Prime factorization of 4730 in exponential form is:

4730 = 21×51×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4724 and 4730.

LCM(4724,4730) = 22×51×111×431×11811
LCM(4724,4730) = 11172260

Factors of 4724

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

1, 2, 4, 1181, 2362, 4724

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730

Least Common Multiple of 4724 and 4730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4724 and 4730, than apply into the LCM equation.

GCF(4724,4730) = 2
LCM(4724,4730) = ( 4724 × 4730) / 2
LCM(4724,4730) = 22344520 / 2
LCM(4724,4730) = 11172260

Properties of LCM 4724 and 4730

(i) The LCM of 4730 and 4724 is associative

LCM of 4724 and 4730 = LCM of 4730 and 4724

Related Least Common Multiples of 4724

Related Least Common Multiples of 4730

Frequently Asked Questions on LCM of 4724 and 4730

1. What is the LCM of 4724 and 4730?

Answer: LCM of 4724 and 4730 is 11172260.

2. 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.

3. What are the Factors of 4730?

Answer: Factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730. There are 16 integers that are factors of 4730. The greatest factor of 4730 is 4730.

4. How to Find the LCM of 4724 and 4730?

Answer:

Least Common Multiple of 4724 and 4730 = 11172260

Step 1: Find the prime factorization of 4724

4724 = 2 x 2 x 1181

Step 2: Find the prime factorization of 4730

4730 = 2 x 5 x 11 x 43

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

LCM = 11172260 = 2 x 2 x 5 x 11 x 43 x 1181

Step 4: Therefore, the least common multiple of 4724 and 4730 is 11172260.