Least Common Multiple of 4704 and 4711

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 4711 the smallest integer that is 3165792 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4711 is 3165792.

LCM(4704,4711) = 3165792

LCM of 4704 and 4711

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

LCM of:
and

Least Common Multiple of 4704 and 4711

LCM of 4704 and 4711 is 3165792

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4711. First we will calculate the prime factors of 4704 and 4711.

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 4711


7 4711
673 673
1

Prime factors of 4711 are 7,673. Prime factorization of 4711 in exponential form is:

4711 = 71×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4711.

LCM(4704,4711) = 25×31×72×6731
LCM(4704,4711) = 3165792

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 4711

List of positive integer factors of 4711 that divides 4711 without a remainder.

1, 7, 673, 4711

Least Common Multiple of 4704 and 4711 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 4711, than apply into the LCM equation.

GCF(4704,4711) = 7
LCM(4704,4711) = ( 4704 × 4711) / 7
LCM(4704,4711) = 22160544 / 7
LCM(4704,4711) = 3165792

Properties of LCM 4704 and 4711

(i) The LCM of 4711 and 4704 is associative

LCM of 4704 and 4711 = LCM of 4711 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4711

Frequently Asked Questions on LCM of 4704 and 4711

1. What is the LCM of 4704 and 4711?

Answer: LCM of 4704 and 4711 is 3165792.

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 4711?

Answer: Factors of 4711 are 1, 7, 673, 4711. There are 4 integers that are factors of 4711. The greatest factor of 4711 is 4711.

4. How to Find the LCM of 4704 and 4711?

Answer:

Least Common Multiple of 4704 and 4711 = 3165792

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 4711

4711 = 7 x 673

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

LCM = 3165792 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 673

Step 4: Therefore, the least common multiple of 4704 and 4711 is 3165792.