Least Common Multiple of 4705 and 4713

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 4713 the smallest integer that is 22174665 that is divisible by both numbers.

Least Common Multiple (LCM) of 4705 and 4713 is 22174665.

LCM(4705,4713) = 22174665

LCM of 4705 and 4713

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

LCM of:
and

Least Common Multiple of 4705 and 4713

LCM of 4705 and 4713 is 22174665

Least common multiple can be found by multiplying the highest exponent prime factors of 4705 and 4713. First we will calculate the prime factors of 4705 and 4713.

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 4713


3 4713
1571 1571
1

Prime factors of 4713 are 3,1571. Prime factorization of 4713 in exponential form is:

4713 = 31×15711

Now multiplying the highest exponent prime factors to calculate the LCM of 4705 and 4713.

LCM(4705,4713) = 31×51×9411×15711
LCM(4705,4713) = 22174665

Factors of 4705

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

1, 5, 941, 4705

Factors of 4713

List of positive integer factors of 4713 that divides 4713 without a remainder.

1, 3, 1571, 4713

Least Common Multiple of 4705 and 4713 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 4713, than apply into the LCM equation.

GCF(4705,4713) = 1
LCM(4705,4713) = ( 4705 × 4713) / 1
LCM(4705,4713) = 22174665 / 1
LCM(4705,4713) = 22174665

Properties of LCM 4705 and 4713

(i) The LCM of 4713 and 4705 is associative

LCM of 4705 and 4713 = LCM of 4713 and 4705

Related Least Common Multiples of 4705

Related Least Common Multiples of 4713

Frequently Asked Questions on LCM of 4705 and 4713

1. What is the LCM of 4705 and 4713?

Answer: LCM of 4705 and 4713 is 22174665.

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 4713?

Answer: Factors of 4713 are 1, 3, 1571, 4713. There are 4 integers that are factors of 4713. The greatest factor of 4713 is 4713.

4. How to Find the LCM of 4705 and 4713?

Answer:

Least Common Multiple of 4705 and 4713 = 22174665

Step 1: Find the prime factorization of 4705

4705 = 5 x 941

Step 2: Find the prime factorization of 4713

4713 = 3 x 1571

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

LCM = 22174665 = 3 x 5 x 941 x 1571

Step 4: Therefore, the least common multiple of 4705 and 4713 is 22174665.