Least Common Multiple of 4715 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 4715 and 4720 the smallest integer that is 4450960 that is divisible by both numbers.

Least Common Multiple (LCM) of 4715 and 4720 is 4450960.

LCM(4715,4720) = 4450960

LCM of 4715 and 4720

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

LCM of:
and

Least Common Multiple of 4715 and 4720

LCM of 4715 and 4720 is 4450960

Least common multiple can be found by multiplying the highest exponent prime factors of 4715 and 4720. First we will calculate the prime factors of 4715 and 4720.

Prime Factorization of 4715


5 4715
23 943
41 41
1

Prime factors of 4715 are 5, 23,41. Prime factorization of 4715 in exponential form is:

4715 = 51×231×411

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 4715 and 4720.

LCM(4715,4720) = 24×51×231×411×591
LCM(4715,4720) = 4450960

Factors of 4715

List of positive integer factors of 4715 that divides 4715 without a remainder.

1, 5, 23, 41, 115, 205, 943, 4715

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 4715 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 4715 and 4720, than apply into the LCM equation.

GCF(4715,4720) = 5
LCM(4715,4720) = ( 4715 × 4720) / 5
LCM(4715,4720) = 22254800 / 5
LCM(4715,4720) = 4450960

Properties of LCM 4715 and 4720

(i) The LCM of 4720 and 4715 is associative

LCM of 4715 and 4720 = LCM of 4720 and 4715

Related Least Common Multiples of 4715

Related Least Common Multiples of 4720

Frequently Asked Questions on LCM of 4715 and 4720

1. What is the LCM of 4715 and 4720?

Answer: LCM of 4715 and 4720 is 4450960.

2. What are the Factors of 4715?

Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.

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 4715 and 4720?

Answer:

Least Common Multiple of 4715 and 4720 = 4450960

Step 1: Find the prime factorization of 4715

4715 = 5 x 23 x 41

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 = 4450960 = 2 x 2 x 2 x 2 x 5 x 23 x 41 x 59

Step 4: Therefore, the least common multiple of 4715 and 4720 is 4450960.