Least Common Multiple of 7266 and 7274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7266 and 7274 the smallest integer that is 26426442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7266 and 7274 is 26426442.

LCM(7266,7274) = 26426442

LCM of 7266 and 7274

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

LCM of:
and

Least Common Multiple of 7266 and 7274

LCM of 7266 and 7274 is 26426442

Least common multiple can be found by multiplying the highest exponent prime factors of 7266 and 7274. First we will calculate the prime factors of 7266 and 7274.

Prime Factorization of 7266


2 7266
3 3633
7 1211
173 173
1

Prime factors of 7266 are 2, 3, 7,173. Prime factorization of 7266 in exponential form is:

7266 = 21×31×71×1731

Prime Factorization of 7274


2 7274
3637 3637
1

Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:

7274 = 21×36371

Now multiplying the highest exponent prime factors to calculate the LCM of 7266 and 7274.

LCM(7266,7274) = 21×31×71×1731×36371
LCM(7266,7274) = 26426442

Factors of 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1, 2, 3637, 7274

Least Common Multiple of 7266 and 7274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7266 and 7274, than apply into the LCM equation.

GCF(7266,7274) = 2
LCM(7266,7274) = ( 7266 × 7274) / 2
LCM(7266,7274) = 52852884 / 2
LCM(7266,7274) = 26426442

Properties of LCM 7266 and 7274

(i) The LCM of 7274 and 7266 is associative

LCM of 7266 and 7274 = LCM of 7274 and 7266

Related Least Common Multiples of 7266

Related Least Common Multiples of 7274

Frequently Asked Questions on LCM of 7266 and 7274

1. What is the LCM of 7266 and 7274?

Answer: LCM of 7266 and 7274 is 26426442.

2. What are the Factors of 7266?

Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.

3. What are the Factors of 7274?

Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.

4. How to Find the LCM of 7266 and 7274?

Answer:

Least Common Multiple of 7266 and 7274 = 26426442

Step 1: Find the prime factorization of 7266

7266 = 2 x 3 x 7 x 173

Step 2: Find the prime factorization of 7274

7274 = 2 x 3637

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

LCM = 26426442 = 2 x 3 x 7 x 173 x 3637

Step 4: Therefore, the least common multiple of 7266 and 7274 is 26426442.