Least Common Multiple of 278 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 278 and 281 the smallest integer that is 78118 that is divisible by both numbers.

Least Common Multiple (LCM) of 278 and 281 is 78118.

LCM(278,281) = 78118

LCM of 278 and 281

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

LCM of:
and

Least Common Multiple of 278 and 281

LCM of 278 and 281 is 78118

Least common multiple can be found by multiplying the highest exponent prime factors of 278 and 281. First we will calculate the prime factors of 278 and 281.

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

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 278 and 281.

LCM(278,281) = 21×1391×2811
LCM(278,281) = 78118

Factors of 278

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

1, 2, 139, 278

Factors of 281

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

1, 281

Least Common Multiple of 278 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 278 and 281, than apply into the LCM equation.

GCF(278,281) = 1
LCM(278,281) = ( 278 × 281) / 1
LCM(278,281) = 78118 / 1
LCM(278,281) = 78118

Properties of LCM 278 and 281

(i) The LCM of 281 and 278 is associative

LCM of 278 and 281 = LCM of 281 and 278

Related Least Common Multiples of 278

Related Least Common Multiples of 281

Frequently Asked Questions on LCM of 278 and 281

1. What is the LCM of 278 and 281?

Answer: LCM of 278 and 281 is 78118.

2. 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.

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 278 and 281?

Answer:

Least Common Multiple of 278 and 281 = 78118

Step 1: Find the prime factorization of 278

278 = 2 x 139

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 = 78118 = 2 x 139 x 281

Step 4: Therefore, the least common multiple of 278 and 281 is 78118.