Least Common Multiple of 275 and 278

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 278 the smallest integer that is 76450 that is divisible by both numbers.

Least Common Multiple (LCM) of 275 and 278 is 76450.

LCM(275,278) = 76450

LCM of 275 and 278

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

LCM of:
and

Least Common Multiple of 275 and 278

LCM of 275 and 278 is 76450

Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 278. First we will calculate the prime factors of 275 and 278.

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 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 275 and 278.

LCM(275,278) = 21×52×111×1391
LCM(275,278) = 76450

Factors of 275

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

1, 5, 11, 25, 55, 275

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Least Common Multiple of 275 and 278 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 278, than apply into the LCM equation.

GCF(275,278) = 1
LCM(275,278) = ( 275 × 278) / 1
LCM(275,278) = 76450 / 1
LCM(275,278) = 76450

Properties of LCM 275 and 278

(i) The LCM of 278 and 275 is associative

LCM of 275 and 278 = LCM of 278 and 275

Related Least Common Multiples of 275

Related Least Common Multiples of 278

Frequently Asked Questions on LCM of 275 and 278

1. What is the LCM of 275 and 278?

Answer: LCM of 275 and 278 is 76450.

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 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

4. How to Find the LCM of 275 and 278?

Answer:

Least Common Multiple of 275 and 278 = 76450

Step 1: Find the prime factorization of 275

275 = 5 x 5 x 11

Step 2: Find the prime factorization of 278

278 = 2 x 139

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

LCM = 76450 = 2 x 5 x 5 x 11 x 139

Step 4: Therefore, the least common multiple of 275 and 278 is 76450.