Least Common Multiple of 4275 and 4280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4275 and 4280 the smallest integer that is 3659400 that is divisible by both numbers.

Least Common Multiple (LCM) of 4275 and 4280 is 3659400.

LCM(4275,4280) = 3659400

LCM of 4275 and 4280

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

LCM of:
and

Least Common Multiple of 4275 and 4280

LCM of 4275 and 4280 is 3659400

Least common multiple can be found by multiplying the highest exponent prime factors of 4275 and 4280. First we will calculate the prime factors of 4275 and 4280.

Prime Factorization of 4275


3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 4275 are 3, 5,19. Prime factorization of 4275 in exponential form is:

4275 = 32×52×191

Prime Factorization of 4280


2 4280
2 2140
2 1070
5 535
107 107
1

Prime factors of 4280 are 2, 5,107. Prime factorization of 4280 in exponential form is:

4280 = 23×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4275 and 4280.

LCM(4275,4280) = 23×32×52×191×1071
LCM(4275,4280) = 3659400

Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275

Factors of 4280

List of positive integer factors of 4280 that divides 4280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280

Least Common Multiple of 4275 and 4280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4275 and 4280, than apply into the LCM equation.

GCF(4275,4280) = 5
LCM(4275,4280) = ( 4275 × 4280) / 5
LCM(4275,4280) = 18297000 / 5
LCM(4275,4280) = 3659400

Properties of LCM 4275 and 4280

(i) The LCM of 4280 and 4275 is associative

LCM of 4275 and 4280 = LCM of 4280 and 4275

Related Least Common Multiples of 4275

Related Least Common Multiples of 4280

Frequently Asked Questions on LCM of 4275 and 4280

1. What is the LCM of 4275 and 4280?

Answer: LCM of 4275 and 4280 is 3659400.

2. What are the Factors of 4275?

Answer: Factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275. There are 18 integers that are factors of 4275. The greatest factor of 4275 is 4275.

3. What are the Factors of 4280?

Answer: Factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280. There are 16 integers that are factors of 4280. The greatest factor of 4280 is 4280.

4. How to Find the LCM of 4275 and 4280?

Answer:

Least Common Multiple of 4275 and 4280 = 3659400

Step 1: Find the prime factorization of 4275

4275 = 3 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 4280

4280 = 2 x 2 x 2 x 5 x 107

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

LCM = 3659400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19 x 107

Step 4: Therefore, the least common multiple of 4275 and 4280 is 3659400.