Least Common Multiple of 267 and 275

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 275 the smallest integer that is 73425 that is divisible by both numbers.

Least Common Multiple (LCM) of 267 and 275 is 73425.

LCM(267,275) = 73425

LCM of 267 and 275

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

LCM of:
and

Least Common Multiple of 267 and 275

LCM of 267 and 275 is 73425

Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 275. First we will calculate the prime factors of 267 and 275.

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 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 267 and 275.

LCM(267,275) = 31×52×111×891
LCM(267,275) = 73425

Factors of 267

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

1, 3, 89, 267

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Least Common Multiple of 267 and 275 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 275, than apply into the LCM equation.

GCF(267,275) = 1
LCM(267,275) = ( 267 × 275) / 1
LCM(267,275) = 73425 / 1
LCM(267,275) = 73425

Properties of LCM 267 and 275

(i) The LCM of 275 and 267 is associative

LCM of 267 and 275 = LCM of 275 and 267

Related Least Common Multiples of 267

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 267 and 275

1. What is the LCM of 267 and 275?

Answer: LCM of 267 and 275 is 73425.

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 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

4. How to Find the LCM of 267 and 275?

Answer:

Least Common Multiple of 267 and 275 = 73425

Step 1: Find the prime factorization of 267

267 = 3 x 89

Step 2: Find the prime factorization of 275

275 = 5 x 5 x 11

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

LCM = 73425 = 3 x 5 x 5 x 11 x 89

Step 4: Therefore, the least common multiple of 267 and 275 is 73425.