Least Common Multiple of 4713 and 4720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4713 and 4720 the smallest integer that is 22245360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4713 and 4720 is 22245360.

LCM(4713,4720) = 22245360

LCM of 4713 and 4720

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

LCM of:
and

Least Common Multiple of 4713 and 4720

LCM of 4713 and 4720 is 22245360

Least common multiple can be found by multiplying the highest exponent prime factors of 4713 and 4720. First we will calculate the prime factors of 4713 and 4720.

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

Prime Factorization of 4720


2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 4720 are 2, 5,59. Prime factorization of 4720 in exponential form is:

4720 = 24×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4713 and 4720.

LCM(4713,4720) = 24×31×51×591×15711
LCM(4713,4720) = 22245360

Factors of 4713

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

1, 3, 1571, 4713

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720

Least Common Multiple of 4713 and 4720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4713 and 4720, than apply into the LCM equation.

GCF(4713,4720) = 1
LCM(4713,4720) = ( 4713 × 4720) / 1
LCM(4713,4720) = 22245360 / 1
LCM(4713,4720) = 22245360

Properties of LCM 4713 and 4720

(i) The LCM of 4720 and 4713 is associative

LCM of 4713 and 4720 = LCM of 4720 and 4713

Related Least Common Multiples of 4713

Related Least Common Multiples of 4720

Frequently Asked Questions on LCM of 4713 and 4720

1. What is the LCM of 4713 and 4720?

Answer: LCM of 4713 and 4720 is 22245360.

2. 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.

3. What are the Factors of 4720?

Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.

4. How to Find the LCM of 4713 and 4720?

Answer:

Least Common Multiple of 4713 and 4720 = 22245360

Step 1: Find the prime factorization of 4713

4713 = 3 x 1571

Step 2: Find the prime factorization of 4720

4720 = 2 x 2 x 2 x 2 x 5 x 59

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

LCM = 22245360 = 2 x 2 x 2 x 2 x 3 x 5 x 59 x 1571

Step 4: Therefore, the least common multiple of 4713 and 4720 is 22245360.