Least Common Multiple of 275 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 275 and 276 the smallest integer that is 75900 that is divisible by both numbers.

Least Common Multiple (LCM) of 275 and 276 is 75900.

LCM(275,276) = 75900

LCM of 275 and 276

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

LCM of:
and

Least Common Multiple of 275 and 276

LCM of 275 and 276 is 75900

Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 276. First we will calculate the prime factors of 275 and 276.

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

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 275 and 276.

LCM(275,276) = 22×31×52×111×231
LCM(275,276) = 75900

Factors of 275

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

1, 5, 11, 25, 55, 275

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 275 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 275 and 276, than apply into the LCM equation.

GCF(275,276) = 1
LCM(275,276) = ( 275 × 276) / 1
LCM(275,276) = 75900 / 1
LCM(275,276) = 75900

Properties of LCM 275 and 276

(i) The LCM of 276 and 275 is associative

LCM of 275 and 276 = LCM of 276 and 275

Related Least Common Multiples of 275

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 275 and 276

1. What is the LCM of 275 and 276?

Answer: LCM of 275 and 276 is 75900.

2. 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.

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 275 and 276?

Answer:

Least Common Multiple of 275 and 276 = 75900

Step 1: Find the prime factorization of 275

275 = 5 x 5 x 11

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 = 75900 = 2 x 2 x 3 x 5 x 5 x 11 x 23

Step 4: Therefore, the least common multiple of 275 and 276 is 75900.