Least Common Multiple of 4720 and 4725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4720 and 4725 the smallest integer that is 4460400 that is divisible by both numbers.

Least Common Multiple (LCM) of 4720 and 4725 is 4460400.

LCM(4720,4725) = 4460400

LCM of 4720 and 4725

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

LCM of:
and

Least Common Multiple of 4720 and 4725

LCM of 4720 and 4725 is 4460400

Least common multiple can be found by multiplying the highest exponent prime factors of 4720 and 4725. First we will calculate the prime factors of 4720 and 4725.

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

Prime Factorization of 4725


3 4725
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 4725 are 3, 5,7. Prime factorization of 4725 in exponential form is:

4725 = 33×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4720 and 4725.

LCM(4720,4725) = 24×33×52×71×591
LCM(4720,4725) = 4460400

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

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725

Least Common Multiple of 4720 and 4725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4720 and 4725, than apply into the LCM equation.

GCF(4720,4725) = 5
LCM(4720,4725) = ( 4720 × 4725) / 5
LCM(4720,4725) = 22302000 / 5
LCM(4720,4725) = 4460400

Properties of LCM 4720 and 4725

(i) The LCM of 4725 and 4720 is associative

LCM of 4720 and 4725 = LCM of 4725 and 4720

Related Least Common Multiples of 4720

Related Least Common Multiples of 4725

Frequently Asked Questions on LCM of 4720 and 4725

1. What is the LCM of 4720 and 4725?

Answer: LCM of 4720 and 4725 is 4460400.

2. 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.

3. What are the Factors of 4725?

Answer: Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. There are 24 integers that are factors of 4725. The greatest factor of 4725 is 4725.

4. How to Find the LCM of 4720 and 4725?

Answer:

Least Common Multiple of 4720 and 4725 = 4460400

Step 1: Find the prime factorization of 4720

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

Step 2: Find the prime factorization of 4725

4725 = 3 x 3 x 3 x 5 x 5 x 7

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

LCM = 4460400 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 4720 and 4725 is 4460400.