Least Common Multiple of 274 and 276

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 276 the smallest integer that is 37812 that is divisible by both numbers.

Least Common Multiple (LCM) of 274 and 276 is 37812.

LCM(274,276) = 37812

LCM of 274 and 276

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

LCM of:
and

Least Common Multiple of 274 and 276

LCM of 274 and 276 is 37812

Least common multiple can be found by multiplying the highest exponent prime factors of 274 and 276. First we will calculate the prime factors of 274 and 276.

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 276


2 276
2 138
3 69
23 23
1

Prime factors of 276 are 2, 3,23. Prime factorization of 276 in exponential form is:

276 = 22×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 274 and 276.

LCM(274,276) = 22×31×231×1371
LCM(274,276) = 37812

Factors of 274

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

1, 2, 137, 274

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Least Common Multiple of 274 and 276 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 276, than apply into the LCM equation.

GCF(274,276) = 2
LCM(274,276) = ( 274 × 276) / 2
LCM(274,276) = 75624 / 2
LCM(274,276) = 37812

Properties of LCM 274 and 276

(i) The LCM of 276 and 274 is associative

LCM of 274 and 276 = LCM of 276 and 274

Related Least Common Multiples of 274

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 274 and 276

1. What is the LCM of 274 and 276?

Answer: LCM of 274 and 276 is 37812.

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 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

4. How to Find the LCM of 274 and 276?

Answer:

Least Common Multiple of 274 and 276 = 37812

Step 1: Find the prime factorization of 274

274 = 2 x 137

Step 2: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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

LCM = 37812 = 2 x 2 x 3 x 23 x 137

Step 4: Therefore, the least common multiple of 274 and 276 is 37812.