Least Common Multiple of 4268 and 4273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4268 and 4273 the smallest integer that is 18237164 that is divisible by both numbers.

Least Common Multiple (LCM) of 4268 and 4273 is 18237164.

LCM(4268,4273) = 18237164

LCM of 4268 and 4273

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

LCM of:
and

Least Common Multiple of 4268 and 4273

LCM of 4268 and 4273 is 18237164

Least common multiple can be found by multiplying the highest exponent prime factors of 4268 and 4273. First we will calculate the prime factors of 4268 and 4273.

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

Prime Factorization of 4273


4273 4273
1

Prime factors of 4273 are 4273. Prime factorization of 4273 in exponential form is:

4273 = 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 4268 and 4273.

LCM(4268,4273) = 22×111×971×42731
LCM(4268,4273) = 18237164

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

Factors of 4273

List of positive integer factors of 4273 that divides 4273 without a remainder.

1, 4273

Least Common Multiple of 4268 and 4273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4268 and 4273, than apply into the LCM equation.

GCF(4268,4273) = 1
LCM(4268,4273) = ( 4268 × 4273) / 1
LCM(4268,4273) = 18237164 / 1
LCM(4268,4273) = 18237164

Properties of LCM 4268 and 4273

(i) The LCM of 4273 and 4268 is associative

LCM of 4268 and 4273 = LCM of 4273 and 4268

Related Least Common Multiples of 4268

Related Least Common Multiples of 4273

Frequently Asked Questions on LCM of 4268 and 4273

1. What is the LCM of 4268 and 4273?

Answer: LCM of 4268 and 4273 is 18237164.

2. 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.

3. What are the Factors of 4273?

Answer: Factors of 4273 are 1, 4273. There are 2 integers that are factors of 4273. The greatest factor of 4273 is 4273.

4. How to Find the LCM of 4268 and 4273?

Answer:

Least Common Multiple of 4268 and 4273 = 18237164

Step 1: Find the prime factorization of 4268

4268 = 2 x 2 x 11 x 97

Step 2: Find the prime factorization of 4273

4273 = 4273

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

LCM = 18237164 = 2 x 2 x 11 x 97 x 4273

Step 4: Therefore, the least common multiple of 4268 and 4273 is 18237164.