Least Common Multiple of 4262 and 4268

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 4268 the smallest integer that is 9095108 that is divisible by both numbers.

Least Common Multiple (LCM) of 4262 and 4268 is 9095108.

LCM(4262,4268) = 9095108

LCM of 4262 and 4268

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

LCM of:
and

Least Common Multiple of 4262 and 4268

LCM of 4262 and 4268 is 9095108

Least common multiple can be found by multiplying the highest exponent prime factors of 4262 and 4268. First we will calculate the prime factors of 4262 and 4268.

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 4268


2 4268
2 2134
11 1067
97 97
1

Prime factors of 4268 are 2, 11,97. Prime factorization of 4268 in exponential form is:

4268 = 22×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4262 and 4268.

LCM(4262,4268) = 22×111×971×21311
LCM(4262,4268) = 9095108

Factors of 4262

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

1, 2, 2131, 4262

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268

Least Common Multiple of 4262 and 4268 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 4268, than apply into the LCM equation.

GCF(4262,4268) = 2
LCM(4262,4268) = ( 4262 × 4268) / 2
LCM(4262,4268) = 18190216 / 2
LCM(4262,4268) = 9095108

Properties of LCM 4262 and 4268

(i) The LCM of 4268 and 4262 is associative

LCM of 4262 and 4268 = LCM of 4268 and 4262

Related Least Common Multiples of 4262

Related Least Common Multiples of 4268

Frequently Asked Questions on LCM of 4262 and 4268

1. What is the LCM of 4262 and 4268?

Answer: LCM of 4262 and 4268 is 9095108.

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 4268?

Answer: Factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268. There are 12 integers that are factors of 4268. The greatest factor of 4268 is 4268.

4. How to Find the LCM of 4262 and 4268?

Answer:

Least Common Multiple of 4262 and 4268 = 9095108

Step 1: Find the prime factorization of 4262

4262 = 2 x 2131

Step 2: Find the prime factorization of 4268

4268 = 2 x 2 x 11 x 97

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

LCM = 9095108 = 2 x 2 x 11 x 97 x 2131

Step 4: Therefore, the least common multiple of 4262 and 4268 is 9095108.