Least Common Multiple of 267 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 267 and 274 the smallest integer that is 73158 that is divisible by both numbers.

Least Common Multiple (LCM) of 267 and 274 is 73158.

LCM(267,274) = 73158

LCM of 267 and 274

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

LCM of:
and

Least Common Multiple of 267 and 274

LCM of 267 and 274 is 73158

Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 274. First we will calculate the prime factors of 267 and 274.

Prime Factorization of 267


3 267
89 89
1

Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:

267 = 31×891

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 267 and 274.

LCM(267,274) = 21×31×891×1371
LCM(267,274) = 73158

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Factors of 274

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

1, 2, 137, 274

Least Common Multiple of 267 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 267 and 274, than apply into the LCM equation.

GCF(267,274) = 1
LCM(267,274) = ( 267 × 274) / 1
LCM(267,274) = 73158 / 1
LCM(267,274) = 73158

Properties of LCM 267 and 274

(i) The LCM of 274 and 267 is associative

LCM of 267 and 274 = LCM of 274 and 267

Related Least Common Multiples of 267

Related Least Common Multiples of 274

Frequently Asked Questions on LCM of 267 and 274

1. What is the LCM of 267 and 274?

Answer: LCM of 267 and 274 is 73158.

2. What are the Factors of 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

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 267 and 274?

Answer:

Least Common Multiple of 267 and 274 = 73158

Step 1: Find the prime factorization of 267

267 = 3 x 89

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 = 73158 = 2 x 3 x 89 x 137

Step 4: Therefore, the least common multiple of 267 and 274 is 73158.