Least Common Multiple of 266 and 274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 266 and 274 the smallest integer that is 36442 that is divisible by both numbers.

Least Common Multiple (LCM) of 266 and 274 is 36442.

LCM(266,274) = 36442

LCM of 266 and 274

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

LCM of:
and

Least Common Multiple of 266 and 274

LCM of 266 and 274 is 36442

Least common multiple can be found by multiplying the highest exponent prime factors of 266 and 274. First we will calculate the prime factors of 266 and 274.

Prime Factorization of 266


2 266
7 133
19 19
1

Prime factors of 266 are 2, 7,19. Prime factorization of 266 in exponential form is:

266 = 21×71×191

Prime Factorization of 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 266 and 274.

LCM(266,274) = 21×71×191×1371
LCM(266,274) = 36442

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Least Common Multiple of 266 and 274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 266 and 274, than apply into the LCM equation.

GCF(266,274) = 2
LCM(266,274) = ( 266 × 274) / 2
LCM(266,274) = 72884 / 2
LCM(266,274) = 36442

Properties of LCM 266 and 274

(i) The LCM of 274 and 266 is associative

LCM of 266 and 274 = LCM of 274 and 266

Related Least Common Multiples of 266

Related Least Common Multiples of 274

Frequently Asked Questions on LCM of 266 and 274

1. What is the LCM of 266 and 274?

Answer: LCM of 266 and 274 is 36442.

2. What are the Factors of 266?

Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.

3. What are the Factors of 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

4. How to Find the LCM of 266 and 274?

Answer:

Least Common Multiple of 266 and 274 = 36442

Step 1: Find the prime factorization of 266

266 = 2 x 7 x 19

Step 2: Find the prime factorization of 274

274 = 2 x 137

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

LCM = 36442 = 2 x 7 x 19 x 137

Step 4: Therefore, the least common multiple of 266 and 274 is 36442.