Least Common Multiple of 4262 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 4262 and 4270 the smallest integer that is 9099370 that is divisible by both numbers.

Least Common Multiple (LCM) of 4262 and 4270 is 9099370.

LCM(4262,4270) = 9099370

LCM of 4262 and 4270

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

LCM of:
and

Least Common Multiple of 4262 and 4270

LCM of 4262 and 4270 is 9099370

Least common multiple can be found by multiplying the highest exponent prime factors of 4262 and 4270. First we will calculate the prime factors of 4262 and 4270.

Prime Factorization of 4262


2 4262
2131 2131
1

Prime factors of 4262 are 2,2131. Prime factorization of 4262 in exponential form is:

4262 = 21×21311

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 4262 and 4270.

LCM(4262,4270) = 21×51×71×611×21311
LCM(4262,4270) = 9099370

Factors of 4262

List of positive integer factors of 4262 that divides 4262 without a remainder.

1, 2, 2131, 4262

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 4262 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 4262 and 4270, than apply into the LCM equation.

GCF(4262,4270) = 2
LCM(4262,4270) = ( 4262 × 4270) / 2
LCM(4262,4270) = 18198740 / 2
LCM(4262,4270) = 9099370

Properties of LCM 4262 and 4270

(i) The LCM of 4270 and 4262 is associative

LCM of 4262 and 4270 = LCM of 4270 and 4262

Related Least Common Multiples of 4262

Related Least Common Multiples of 4270

Frequently Asked Questions on LCM of 4262 and 4270

1. What is the LCM of 4262 and 4270?

Answer: LCM of 4262 and 4270 is 9099370.

2. What are the Factors of 4262?

Answer: Factors of 4262 are 1, 2, 2131, 4262. There are 4 integers that are factors of 4262. The greatest factor of 4262 is 4262.

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 4262 and 4270?

Answer:

Least Common Multiple of 4262 and 4270 = 9099370

Step 1: Find the prime factorization of 4262

4262 = 2 x 2131

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 = 9099370 = 2 x 5 x 7 x 61 x 2131

Step 4: Therefore, the least common multiple of 4262 and 4270 is 9099370.