Least Common Multiple of 274 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 274 and 275 the smallest integer that is 75350 that is divisible by both numbers.

Least Common Multiple (LCM) of 274 and 275 is 75350.

LCM(274,275) = 75350

LCM of 274 and 275

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

LCM of:
and

Least Common Multiple of 274 and 275

LCM of 274 and 275 is 75350

Least common multiple can be found by multiplying the highest exponent prime factors of 274 and 275. First we will calculate the prime factors of 274 and 275.

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

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 274 and 275.

LCM(274,275) = 21×52×111×1371
LCM(274,275) = 75350

Factors of 274

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

1, 2, 137, 274

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 274 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 274 and 275, than apply into the LCM equation.

GCF(274,275) = 1
LCM(274,275) = ( 274 × 275) / 1
LCM(274,275) = 75350 / 1
LCM(274,275) = 75350

Properties of LCM 274 and 275

(i) The LCM of 275 and 274 is associative

LCM of 274 and 275 = LCM of 275 and 274

Related Least Common Multiples of 274

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 274 and 275

1. What is the LCM of 274 and 275?

Answer: LCM of 274 and 275 is 75350.

2. 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.

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 274 and 275?

Answer:

Least Common Multiple of 274 and 275 = 75350

Step 1: Find the prime factorization of 274

274 = 2 x 137

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 = 75350 = 2 x 5 x 5 x 11 x 137

Step 4: Therefore, the least common multiple of 274 and 275 is 75350.