Least Common Multiple of 278 and 283

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 283 the smallest integer that is 78674 that is divisible by both numbers.

Least Common Multiple (LCM) of 278 and 283 is 78674.

LCM(278,283) = 78674

LCM of 278 and 283

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

LCM of:
and

Least Common Multiple of 278 and 283

LCM of 278 and 283 is 78674

Least common multiple can be found by multiplying the highest exponent prime factors of 278 and 283. First we will calculate the prime factors of 278 and 283.

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 283


283 283
1

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 278 and 283.

LCM(278,283) = 21×1391×2831
LCM(278,283) = 78674

Factors of 278

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

1, 2, 139, 278

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1, 283

Least Common Multiple of 278 and 283 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 283, than apply into the LCM equation.

GCF(278,283) = 1
LCM(278,283) = ( 278 × 283) / 1
LCM(278,283) = 78674 / 1
LCM(278,283) = 78674

Properties of LCM 278 and 283

(i) The LCM of 283 and 278 is associative

LCM of 278 and 283 = LCM of 283 and 278

Related Least Common Multiples of 278

Related Least Common Multiples of 283

Frequently Asked Questions on LCM of 278 and 283

1. What is the LCM of 278 and 283?

Answer: LCM of 278 and 283 is 78674.

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 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

4. How to Find the LCM of 278 and 283?

Answer:

Least Common Multiple of 278 and 283 = 78674

Step 1: Find the prime factorization of 278

278 = 2 x 139

Step 2: Find the prime factorization of 283

283 = 283

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

LCM = 78674 = 2 x 139 x 283

Step 4: Therefore, the least common multiple of 278 and 283 is 78674.