Least Common Multiple of 4704 and 4708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4704 and 4708 the smallest integer that is 5536608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4708 is 5536608.

LCM(4704,4708) = 5536608

LCM of 4704 and 4708

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

LCM of:
and

Least Common Multiple of 4704 and 4708

LCM of 4704 and 4708 is 5536608

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4708. First we will calculate the prime factors of 4704 and 4708.

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2, 3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

Prime Factorization of 4708


2 4708
2 2354
11 1177
107 107
1

Prime factors of 4708 are 2, 11,107. Prime factorization of 4708 in exponential form is:

4708 = 22×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4708.

LCM(4704,4708) = 25×31×72×111×1071
LCM(4704,4708) = 5536608

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

Factors of 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708

Least Common Multiple of 4704 and 4708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4704 and 4708, than apply into the LCM equation.

GCF(4704,4708) = 4
LCM(4704,4708) = ( 4704 × 4708) / 4
LCM(4704,4708) = 22146432 / 4
LCM(4704,4708) = 5536608

Properties of LCM 4704 and 4708

(i) The LCM of 4708 and 4704 is associative

LCM of 4704 and 4708 = LCM of 4708 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4708

Frequently Asked Questions on LCM of 4704 and 4708

1. What is the LCM of 4704 and 4708?

Answer: LCM of 4704 and 4708 is 5536608.

2. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

3. What are the Factors of 4708?

Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.

4. How to Find the LCM of 4704 and 4708?

Answer:

Least Common Multiple of 4704 and 4708 = 5536608

Step 1: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 4708

4708 = 2 x 2 x 11 x 107

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

LCM = 5536608 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 4704 and 4708 is 5536608.