Least Common Multiple of 4263 and 4270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4263 and 4270 the smallest integer that is 2600430 that is divisible by both numbers.

Least Common Multiple (LCM) of 4263 and 4270 is 2600430.

LCM(4263,4270) = 2600430

LCM of 4263 and 4270

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

LCM of:
and

Least Common Multiple of 4263 and 4270

LCM of 4263 and 4270 is 2600430

Least common multiple can be found by multiplying the highest exponent prime factors of 4263 and 4270. First we will calculate the prime factors of 4263 and 4270.

Prime Factorization of 4263


3 4263
7 1421
7 203
29 29
1

Prime factors of 4263 are 3, 7,29. Prime factorization of 4263 in exponential form is:

4263 = 31×72×291

Prime Factorization of 4270


2 4270
5 2135
7 427
61 61
1

Prime factors of 4270 are 2, 5, 7,61. Prime factorization of 4270 in exponential form is:

4270 = 21×51×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4263 and 4270.

LCM(4263,4270) = 21×31×51×72×291×611
LCM(4263,4270) = 2600430

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270

Least Common Multiple of 4263 and 4270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4263 and 4270, than apply into the LCM equation.

GCF(4263,4270) = 7
LCM(4263,4270) = ( 4263 × 4270) / 7
LCM(4263,4270) = 18203010 / 7
LCM(4263,4270) = 2600430

Properties of LCM 4263 and 4270

(i) The LCM of 4270 and 4263 is associative

LCM of 4263 and 4270 = LCM of 4270 and 4263

Related Least Common Multiples of 4263

Related Least Common Multiples of 4270

Frequently Asked Questions on LCM of 4263 and 4270

1. What is the LCM of 4263 and 4270?

Answer: LCM of 4263 and 4270 is 2600430.

2. What are the Factors of 4263?

Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.

3. What are the Factors of 4270?

Answer: Factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270. There are 16 integers that are factors of 4270. The greatest factor of 4270 is 4270.

4. How to Find the LCM of 4263 and 4270?

Answer:

Least Common Multiple of 4263 and 4270 = 2600430

Step 1: Find the prime factorization of 4263

4263 = 3 x 7 x 7 x 29

Step 2: Find the prime factorization of 4270

4270 = 2 x 5 x 7 x 61

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

LCM = 2600430 = 2 x 3 x 5 x 7 x 7 x 29 x 61

Step 4: Therefore, the least common multiple of 4263 and 4270 is 2600430.