Least Common Multiple of 4705 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 4705 and 4711 the smallest integer that is 22165255 that is divisible by both numbers.

Least Common Multiple (LCM) of 4705 and 4711 is 22165255.

LCM(4705,4711) = 22165255

LCM of 4705 and 4711

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

LCM of:
and

Least Common Multiple of 4705 and 4711

LCM of 4705 and 4711 is 22165255

Least common multiple can be found by multiplying the highest exponent prime factors of 4705 and 4711. First we will calculate the prime factors of 4705 and 4711.

Prime Factorization of 4705


5 4705
941 941
1

Prime factors of 4705 are 5,941. Prime factorization of 4705 in exponential form is:

4705 = 51×9411

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 4705 and 4711.

LCM(4705,4711) = 51×71×6731×9411
LCM(4705,4711) = 22165255

Factors of 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1, 5, 941, 4705

Factors of 4711

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

1, 7, 673, 4711

Least Common Multiple of 4705 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 4705 and 4711, than apply into the LCM equation.

GCF(4705,4711) = 1
LCM(4705,4711) = ( 4705 × 4711) / 1
LCM(4705,4711) = 22165255 / 1
LCM(4705,4711) = 22165255

Properties of LCM 4705 and 4711

(i) The LCM of 4711 and 4705 is associative

LCM of 4705 and 4711 = LCM of 4711 and 4705

Related Least Common Multiples of 4705

Related Least Common Multiples of 4711

Frequently Asked Questions on LCM of 4705 and 4711

1. What is the LCM of 4705 and 4711?

Answer: LCM of 4705 and 4711 is 22165255.

2. What are the Factors of 4705?

Answer: Factors of 4705 are 1, 5, 941, 4705. There are 4 integers that are factors of 4705. The greatest factor of 4705 is 4705.

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 4705 and 4711?

Answer:

Least Common Multiple of 4705 and 4711 = 22165255

Step 1: Find the prime factorization of 4705

4705 = 5 x 941

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 = 22165255 = 5 x 7 x 673 x 941

Step 4: Therefore, the least common multiple of 4705 and 4711 is 22165255.