Least Common Multiple of 4716 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 4716 and 4724 the smallest integer that is 5569596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4716 and 4724 is 5569596.

LCM(4716,4724) = 5569596

LCM of 4716 and 4724

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

LCM of:
and

Least Common Multiple of 4716 and 4724

LCM of 4716 and 4724 is 5569596

Least common multiple can be found by multiplying the highest exponent prime factors of 4716 and 4724. First we will calculate the prime factors of 4716 and 4724.

Prime Factorization of 4716


2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 4716 are 2, 3,131. Prime factorization of 4716 in exponential form is:

4716 = 22×32×1311

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 4716 and 4724.

LCM(4716,4724) = 22×32×1311×11811
LCM(4716,4724) = 5569596

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716

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 4716 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 4716 and 4724, than apply into the LCM equation.

GCF(4716,4724) = 4
LCM(4716,4724) = ( 4716 × 4724) / 4
LCM(4716,4724) = 22278384 / 4
LCM(4716,4724) = 5569596

Properties of LCM 4716 and 4724

(i) The LCM of 4724 and 4716 is associative

LCM of 4716 and 4724 = LCM of 4724 and 4716

Related Least Common Multiples of 4716

Related Least Common Multiples of 4724

Frequently Asked Questions on LCM of 4716 and 4724

1. What is the LCM of 4716 and 4724?

Answer: LCM of 4716 and 4724 is 5569596.

2. What are the Factors of 4716?

Answer: Factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716. There are 18 integers that are factors of 4716. The greatest factor of 4716 is 4716.

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 4716 and 4724?

Answer:

Least Common Multiple of 4716 and 4724 = 5569596

Step 1: Find the prime factorization of 4716

4716 = 2 x 2 x 3 x 3 x 131

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 = 5569596 = 2 x 2 x 3 x 3 x 131 x 1181

Step 4: Therefore, the least common multiple of 4716 and 4724 is 5569596.