Least Common Multiple of 274 and 281

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 281 the smallest integer that is 76994 that is divisible by both numbers.

Least Common Multiple (LCM) of 274 and 281 is 76994.

LCM(274,281) = 76994

LCM of 274 and 281

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

LCM of:
and

Least Common Multiple of 274 and 281

LCM of 274 and 281 is 76994

Least common multiple can be found by multiplying the highest exponent prime factors of 274 and 281. First we will calculate the prime factors of 274 and 281.

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 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 274 and 281.

LCM(274,281) = 21×1371×2811
LCM(274,281) = 76994

Factors of 274

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

1, 2, 137, 274

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1, 281

Least Common Multiple of 274 and 281 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 281, than apply into the LCM equation.

GCF(274,281) = 1
LCM(274,281) = ( 274 × 281) / 1
LCM(274,281) = 76994 / 1
LCM(274,281) = 76994

Properties of LCM 274 and 281

(i) The LCM of 281 and 274 is associative

LCM of 274 and 281 = LCM of 281 and 274

Related Least Common Multiples of 274

Related Least Common Multiples of 281

Frequently Asked Questions on LCM of 274 and 281

1. What is the LCM of 274 and 281?

Answer: LCM of 274 and 281 is 76994.

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 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

4. How to Find the LCM of 274 and 281?

Answer:

Least Common Multiple of 274 and 281 = 76994

Step 1: Find the prime factorization of 274

274 = 2 x 137

Step 2: Find the prime factorization of 281

281 = 281

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

LCM = 76994 = 2 x 137 x 281

Step 4: Therefore, the least common multiple of 274 and 281 is 76994.