Least Common Multiple of 4711 and 4716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4711 and 4716 the smallest integer that is 22217076 that is divisible by both numbers.

Least Common Multiple (LCM) of 4711 and 4716 is 22217076.

LCM(4711,4716) = 22217076

LCM of 4711 and 4716

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

LCM of:
and

Least Common Multiple of 4711 and 4716

LCM of 4711 and 4716 is 22217076

Least common multiple can be found by multiplying the highest exponent prime factors of 4711 and 4716. First we will calculate the prime factors of 4711 and 4716.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4711 and 4716.

LCM(4711,4716) = 22×32×71×1311×6731
LCM(4711,4716) = 22217076

Factors of 4711

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

1, 7, 673, 4711

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

Least Common Multiple of 4711 and 4716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4711 and 4716, than apply into the LCM equation.

GCF(4711,4716) = 1
LCM(4711,4716) = ( 4711 × 4716) / 1
LCM(4711,4716) = 22217076 / 1
LCM(4711,4716) = 22217076

Properties of LCM 4711 and 4716

(i) The LCM of 4716 and 4711 is associative

LCM of 4711 and 4716 = LCM of 4716 and 4711

Related Least Common Multiples of 4711

Related Least Common Multiples of 4716

Frequently Asked Questions on LCM of 4711 and 4716

1. What is the LCM of 4711 and 4716?

Answer: LCM of 4711 and 4716 is 22217076.

2. 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.

3. 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.

4. How to Find the LCM of 4711 and 4716?

Answer:

Least Common Multiple of 4711 and 4716 = 22217076

Step 1: Find the prime factorization of 4711

4711 = 7 x 673

Step 2: Find the prime factorization of 4716

4716 = 2 x 2 x 3 x 3 x 131

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

LCM = 22217076 = 2 x 2 x 3 x 3 x 7 x 131 x 673

Step 4: Therefore, the least common multiple of 4711 and 4716 is 22217076.